Is this a subsequence?

Given a text t and a string s, you are asked to answer one question:
Is it possible to remove some symbols from t and leave the rest untouched to get the string s? In other words - is s a subsequence of t?

Input

The first line of the input contains the text t (1 ≤ |t| ≤ ). The second line contains the string s (1 ≤ |s| ≤ ).

Output

The program should print Yes in the case it is possible or No otherwise.

Examples

Input
Output
hello, world! ello
Yes
hello, world! woo
No
hello, world! eoo
Yes
 

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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