You are given two string S and T. Find the maximal length of some prefix of the string S which occurs in strings T as subsequence.

Input
The first line contains string S.
The second line contains string T.
Both strings consist of lowecase Latin letters.

Output
Output one integer - answer to the question.

Constraints
1 ≤ length of S, T ≤ 10^6

SAMPLE INPUT
digger
biggerdiagram

SAMPLE OUTPUT
3

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