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C. XOR and OR

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputThe 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 10^{6}.

Output

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

Examples

Input

11

10

Output

YES

Input

1

01

Output

NO

Input

000

101

Output

NO

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

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