Bit Operation II

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.

Input

The input is given in the following format.

$a \; b$

Output

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

Constraints

• $0 \leq a, b \leq 2^{32} - 1$

Sample Input 1

8 10

Sample Output 1

00000000000000000000000000001000
00000000000000000000000000001010
00000000000000000000000000000010