CF282C.XOR and OR

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.

Bitland 的居民非常古怪，他们做任何事情的方式都与众不同。他们拥有自己独特的字母表，因此对“字符串”的定义也与其他地方不同。

Bitland 字符串仅由字符 "0" 和 "1" 构成。

BitHaval（Bitland 的市长）非常喜欢玩 Bitland 字符串。他取某个 Bitland 字符串 $a$，并对其执行若干次（可能为零次）如下操作：在一次操作中，市长可任选字符串中两个相邻的字符，将其中一个记为 $x$，另一个记为 $y$；然后计算两个值 $p$ 和 $q$：$p = x \text{ xor } y$，$q = x \text{ or } y$；最后，他将这两个被选中的字符之一替换为 $p$，另一个替换为 $q$。

其中，“xor” 表示按位异或（exclusive OR）运算，“or” 表示按位或（OR）运算。

例如，一次操作可将字符串 11 变为 10 或 01；而字符串 1 则无法变为任何其他字符串。

现在你得到了两个 Bitland 字符串 $a$ 和 $b$。你的任务是判断：BitHaval 是否能通过若干次（可能为零次）上述操作，将字符串 $a$ 变为字符串 $b$。

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.

第一行包含 Bitlandish 字符串 $a$，第二行包含 Bitlandish 字符串 $b$。这两个字符串的长度可能不同。

保证所给字符串仅由字符 "0" 和 "1" 组成。字符串非空，且长度不超过 $10^6$。

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

如果 a 可以转换为 b，则输出 YES，否则输出 NO。请不要输出引号。