Problem Statement

Given are two strings $S$ and $T$.

Let us change some of the characters in $S$ so that $T$ will be a substring of $S$.

At least how many characters do we need to change?

Here, a substring is a consecutive subsequence. For example, xxx is a substring of yxxxy, but not a substring of xxyxx.

Constraints

• The lengths of $S$ and $T$ are each at least $1$ and at most $1000$.
• The length of $T$ is at most that of $S$.
• $S$ and $T$ consist of lowercase English letters.

Input

Input is given from Standard Input in the following format:

S
T

Output

Print the minimum number of characters in $S$ that need to be changed.