Given two non-negative decimal integers $a$ and $b$, calculate their AND (logical conjunction), OR (logical disjunction) and XOR (exclusive disjunction) and print them in binary representation of 32 bits.

Constraints

• $0 \leq a, b \leq 2^{32} - 1$

Input

The input is given in the following format.

$a \; b$

Output

Print results of AND, OR and XOR in a line respectively.

Example

Input

8 10

Output

00000000000000000000000000001000
00000000000000000000000000001010
00000000000000000000000000000010

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