【题解】codeforces664A Complicated GCD 最大公约数

题目链接

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.

Examples

Input

1 2

Output

1

Input

61803398874989484820458683436563811772030917980576 61803398874989484820458683436563811772030917980576

Output

61803398874989484820458683436563811772030917980576

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注意到$\gcd (a,a+1)=1$，所以当$a<b$时答案为$1$，否则答案为$a$

#include
#include
const int N=1e4+10;
char a[N],b[N];
int main()
{
	scanf("%s%s",a,b);
	printf("%s\n",strcmp(a,b)==0?a:"1");
	return 0;
}

总结

水题