XOR and OR

Time Limit:2000MS     Memory Limit:262144KB     64bit IO Format:%I64d & %I64u

Submit Status Practice CodeForces 282C

Description

The Bitlandians are quite weird people. They do everything differently. They have a different alphabet so they have a different definition for a string.

A Bitlandish string is a string made only of characters "0" and "1".

BitHaval (the mayor of Bitland) loves to play with Bitlandish strings. He takes some Bitlandish string a, and applies several (possibly zero) operations to it. In one operation the mayor may take any two adjacent characters of a string, define one of them as x and the other one as y. Then he calculates two values p and q: p = x xor y, q = x or y. Then he replaces one of the two taken characters by p and the other one by q.

The xor operation means the bitwise excluding OR operation. The or operation is the bitwise OR operation.

So for example one operation can transform string 11 to string 10 or to string 01. String 1 cannot be transformed into any other string.

You've got two Bitlandish strings a and b. Your task is to check if it is possible for BitHaval to transform string a to string b in several (possibly zero) described operations.

Input

The first line contains Bitlandish string a, the second line contains Bitlandish string b. The strings can have different lengths.

It is guaranteed that the given strings only consist of characters "0" and "1". The strings are not empty, their length doesn't exceed 10⁶.

Output

Print "YES" if a can be transformed into b, otherwise print "NO". Please do not print the quotes.

Sample Input

11
10

YES

1
01

NO

000
101

NO

分析：

      如果数的长度不一样，肯定不行则为NO；如果为1和0 便可以转换；除了0 0以外，其他的数肯定不会变为0 0，NO 。

两边有1的都是YES，两边全是0的也是YES。

代码：

#include<stdio.h>
#include<string.h>

char a[1000001],b[1000001];
int main()
{
    int len1,len2,i,j,f1,f2;
    while(~scanf("%s %s",a,b))
    {
        len1=strlen(a);
        len2=strlen(b);
        if(len1!=len2)
           printf("NO
");
        else
        {
            f1=f2=0;
        for(i=0;i<len1;i++)
        {
            if(a[i]=='1')
               f1++;
        }
        for(i=0;i<len2;i++)
        {
            if(b[i]=='1')
               f2++;
        }
        if(f1==0&&f2==0)
            printf("YES
");
        else if(f1!=0&&f2!=0)
            printf("YES
");
        else
            printf("NO
");
        }    
    }
    return 0;
}