Expresión aandbandcanddandeandrandqanduandiandnandpandxorlorzors

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

Solución

Ha introducido [src]

(l∨s∨z)⊕(a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u)

$$\left(l \vee s \vee z\right) ⊕ \left(a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u\right)$$

Simplificación [src]

$$\left(l \vee s \vee z\right) ⊕ \left(a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u\right)$$

(l∨s∨z)⊕(a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u)

Tabla de verdad

+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| a | b | c | d | e | i | l | n | p | q | r | s | u | z | result |
+===+===+===+===+===+===+===+===+===+===+===+===+===+===+========+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0      |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--------+

FND [src]

$$\left(l \wedge \neg a\right) \vee \left(l \wedge \neg b\right) \vee \left(l \wedge \neg c\right) \vee \left(l \wedge \neg d\right) \vee \left(l \wedge \neg e\right) \vee \left(l \wedge \neg i\right) \vee \left(l \wedge \neg n\right) \vee \left(l \wedge \neg p\right) \vee \left(l \wedge \neg q\right) \vee \left(l \wedge \neg r\right) \vee \left(l \wedge \neg u\right) \vee \left(s \wedge \neg a\right) \vee \left(s \wedge \neg b\right) \vee \left(s \wedge \neg c\right) \vee \left(s \wedge \neg d\right) \vee \left(s \wedge \neg e\right) \vee \left(s \wedge \neg i\right) \vee \left(s \wedge \neg n\right) \vee \left(s \wedge \neg p\right) \vee \left(s \wedge \neg q\right) \vee \left(s \wedge \neg r\right) \vee \left(s \wedge \neg u\right) \vee \left(z \wedge \neg a\right) \vee \left(z \wedge \neg b\right) \vee \left(z \wedge \neg c\right) \vee \left(z \wedge \neg d\right) \vee \left(z \wedge \neg e\right) \vee \left(z \wedge \neg i\right) \vee \left(z \wedge \neg n\right) \vee \left(z \wedge \neg p\right) \vee \left(z \wedge \neg q\right) \vee \left(z \wedge \neg r\right) \vee \left(z \wedge \neg u\right) \vee \left(l \wedge \neg l \wedge \neg s \wedge \neg z\right) \vee \left(s \wedge \neg l \wedge \neg s \wedge \neg z\right) \vee \left(z \wedge \neg l \wedge \neg s \wedge \neg z\right) \vee \left(a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge \neg a\right) \vee \left(a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge \neg b\right) \vee \left(a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge \neg c\right) \vee \left(a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge \neg e\right) \vee \left(a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge \neg i\right) \vee \left(a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge \neg n\right) \vee \left(a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge \neg p\right) \vee \left(a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge \neg q\right) \vee \left(a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge \neg r\right) \vee \left(a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge \neg u\right) \vee \left(a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge \neg l \wedge \neg s \wedge \neg z\right)$$

(l∧(¬a))∨(l∧(¬b))∨(l∧(¬c))∨(l∧(¬d))∨(l∧(¬e))∨(l∧(¬i))∨(l∧(¬n))∨(l∧(¬p))∨(l∧(¬q))∨(l∧(¬r))∨(l∧(¬u))∨(s∧(¬a))∨(s∧(¬b))∨(s∧(¬c))∨(s∧(¬d))∨(s∧(¬e))∨(s∧(¬i))∨(s∧(¬n))∨(s∧(¬p))∨(s∧(¬q))∨(s∧(¬r))∨(s∧(¬u))∨(z∧(¬a))∨(z∧(¬b))∨(z∧(¬c))∨(z∧(¬d))∨(z∧(¬e))∨(z∧(¬i))∨(z∧(¬n))∨(z∧(¬p))∨(z∧(¬q))∨(z∧(¬r))∨(z∧(¬u))∨(l∧(¬l)∧(¬s)∧(¬z))∨(s∧(¬l)∧(¬s)∧(¬z))∨(z∧(¬l)∧(¬s)∧(¬z))∨(a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧(¬a))∨(a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧(¬b))∨(a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧(¬c))∨(a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧(¬d))∨(a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧(¬e))∨(a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧(¬i))∨(a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧(¬n))∨(a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧(¬p))∨(a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧(¬q))∨(a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧(¬r))∨(a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧(¬u))∨(a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧(¬l)∧(¬s)∧(¬z))

FNC [src]

$$\left(a \vee l \vee s \vee z\right) \wedge \left(b \vee l \vee s \vee z\right) \wedge \left(c \vee l \vee s \vee z\right) \wedge \left(d \vee l \vee s \vee z\right) \wedge \left(e \vee l \vee s \vee z\right) \wedge \left(i \vee l \vee s \vee z\right) \wedge \left(l \vee n \vee s \vee z\right) \wedge \left(l \vee p \vee s \vee z\right) \wedge \left(l \vee q \vee s \vee z\right) \wedge \left(l \vee r \vee s \vee z\right) \wedge \left(l \vee s \vee u \vee z\right) \wedge \left(\neg a \vee \neg b \vee \neg c \vee \neg d \vee \neg e \vee \neg i \vee \neg l \vee \neg n \vee \neg p \vee \neg q \vee \neg r \vee \neg u\right) \wedge \left(\neg a \vee \neg b \vee \neg c \vee \neg d \vee \neg e \vee \neg i \vee \neg n \vee \neg p \vee \neg q \vee \neg r \vee \neg s \vee \neg u\right) \wedge \left(\neg a \vee \neg b \vee \neg c \vee \neg d \vee \neg e \vee \neg i \vee \neg n \vee \neg p \vee \neg q \vee \neg r \vee \neg u \vee \neg z\right)$$

(a∨l∨s∨z)∧(b∨l∨s∨z)∧(c∨l∨s∨z)∧(d∨l∨s∨z)∧(e∨l∨s∨z)∧(i∨l∨s∨z)∧(l∨n∨s∨z)∧(l∨p∨s∨z)∧(l∨q∨s∨z)∧(l∨r∨s∨z)∧(l∨s∨u∨z)∧((¬a)∨(¬b)∨(¬c)∨(¬d)∨(¬e)∨(¬i)∨(¬l)∨(¬n)∨(¬p)∨(¬q)∨(¬r)∨(¬u))∧((¬a)∨(¬b)∨(¬c)∨(¬d)∨(¬e)∨(¬i)∨(¬n)∨(¬p)∨(¬q)∨(¬r)∨(¬s)∨(¬u))∧((¬a)∨(¬b)∨(¬c)∨(¬d)∨(¬e)∨(¬i)∨(¬n)∨(¬p)∨(¬q)∨(¬r)∨(¬u)∨(¬z))

¿Cómo usar?

Expresiones idénticas

Expresión aandbandcanddandeandrandqanduandiandnandpandxorlorzors

Solución