Algorithms and Data Structures

Bitwise Operations on Integers

You are given two integers a and b. Your task is to compute and output their bitwise XOR, AND, and OR operations.

Input

The first line contains the integer a (0 ≤ a ≤ ).

The second line contains the integer b (0 ≤ b ≤ ).

Output

The program should print 3 numbers: the XOR of the given numbers, followed by the AND, and finally the OR of a and b.

Examples

Input

Output

5 3

6 1 7

8 2

10 0 10

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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