Complicated GCD

1000ms

262144K

Description:

Greatest common divisor GCD(a, b) of two positive integers a and b is equal to the biggest integer d such that both integers a and b are divisible by d. There are many efficient algorithms to find greatest common divisor GCD(a, b), for example, Euclid algorithm.

Formally, find the biggest integer d, such that all integers a, a + 1, a + 2, ..., b are divisible by d. To make the problem even more complicated we allow a and b to be up to googol, 10¹⁰⁰ — such number do not fit even in 64-bit integer type!

Input:

The only line of the input contains two integers a and b (1 ≤ a ≤ b ≤ 10¹⁰⁰).

Output:

Output one integer — greatest common divisor of all integers from a to b inclusive.

Sample Input:

1 2

Sample Output:

Sample Input:

61803398874989484820458683436563811772030917980576 61803398874989484820458683436563811772030917980576

Sample Output:

61803398874989484820458683436563811772030917980576

Informação

Provedor Codeforces

Código CF664A