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: Accepted)

#![allow(non_snake_case, unused)]
use std::io::*;
use std::str::FromStr;
use std::collections::*;

fn main() {
    let cin = stdin();
    let cin = cin.lock();
    let mut sc = Scanner::new(cin);

    let s: String = sc.next();
    let t: String  = sc.next();

    let s: Vec<_> = s.as_str().chars().collect();
    let t: Vec<_> = t.as_str().chars().collect();
    let n = s.len();
    let m = t.len();

    let mut ans = m;
    for i in 0..=(n - m) {
	let sl = &s[i..];
	let mut cnt = 0;
	for j in 0..m {
	    if sl[j] != t[j] {
		cnt += 1;
	    }
	}

	ans = ans.min(cnt);
    }
    println!("{}", ans);
}


// Scanner
struct Scanner<R: std::io::Read> {
    reader: R,
}

#[allow(dead_code)]
impl<R: Read> Scanner<R> {
    fn new(reader: R) -> Scanner<R> {
	Scanner { reader: reader }
    }

    fn read<T: FromStr> (&mut self) -> Option<T> {
	let token = self
	    .reader
	    .by_ref()
	    .bytes()
	    .map(|c| c.unwrap() as char)
	    .skip_while(|c| c.is_whitespace())
	    .take_while(|c| !c.is_whitespace())
	    .collect::<String>();
	if token.is_empty() {
	    None
	} else {
	    token.parse::<T>().ok()
	}
    }

    fn next<T: FromStr>(&mut self) -> T {
	if let Some(s) = self.read() {
	    s
	} else {
	    writeln!(stderr(), "Terminated with EOF").unwrap();
	    std::process::exit(0);
	}
    }

    fn vec<T: FromStr>(&mut self, n: usize) -> Vec<T> {
	(0..n).map(|_| self.next()).collect()
    }

    fn char(&mut self) -> char {
	self.next::<String>().chars().next().unwrap()
    }
}