Problem:
Score : 200 points

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.

Sample Input 1

cabacc
abc

Sample Output 1

1

For example, changing the fourth character a in S to c will match the second through fourth characters in S to T.

Since S itself does not have T as its substring, this number of changes - one - is the minimum needed.

Sample Input 2

codeforces
atcoder

Sample Output 2

6

Solution in Rust (1.42.0) (judge verdict: Wrong Answer)

use proconio::marker::*;
use proconio::*;
use std::cmp::min;

fn main() {
    input! {
        s: Chars,
        t: Chars,
    };

    let f = |start: usize| -> usize {
        let l = t.len();
        let mut res = 0;
        for i in 0..l {
            if t[i] != s[i + start] {
                res += 1;
            }
        }

        res
    };

    let mut ans = usize::max_value();

    for i in 0..(s.len() - t.len()) {
        ans = min(f(i), ans);
    }

    println!("{}", ans);
}