Two strings $A$ and $B$ comprising of lower case English letters are compatible if they are equal or can be made equal by following this step any number of times:

• Select a prefix from the string $A$ (possibly empty), and increase the alphabetical value of all the characters in the prefix by the same valid amount. For example if the string is $xyz$ and we select the prefix $xy$ then we can convert it to $yz$ by increasing the alphabetical value by 1. But if we select the prefix $xyz$ then we cannot increase the alphabetical value.

Your task is to determine if given strings $A$ and $B$ are compatible.

Input format

First line: String $A$ 

Next line: String $B$

Output format

For each test case, print $YES$ if string $A$ can be converted to string $B$ , otherwise print $NO$.

Constraints

$1 \le len(A) \le 1000000\\ 1 \le len(B) \le 1000000$