Recursive GCD

Given two integers a and b, write a recursive function to calculate the greatest common divisor (GCD) of a and b.

Input

The input contains two integers separated by a space a and b (1 ≀ a, b ≀ ).

Output

The program should print the GCD of a and b.

Examples

Input
Output
8 12
4
5 25
5
7 13
1
Β 

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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