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 Go (1.14.1) (judge verdict: Accepted)

//go:generate echo "https://atcoder.jp/contests/abc177/tasks/abc177_b"
package main

import (
	"bufio"
	"fmt"
	"io"
	"os"
)

type scanner struct{ *bufio.Scanner }

func newScanner(r io.Reader) *scanner {
	s := bufio.NewScanner(r)
	s.Split(bufio.ScanWords)
	s.Buffer(nil, 100000000)
	return &scanner{s}
}

func (s *scanner) String() string {
	s.Scan()
	return s.Text()
}

func (s *scanner) StringSlice(l int) []string {
	if l == 0 {
		return []string{}
	}
	sl := make([]string, l, l)
	for i := range sl {
		sl[i] = s.String()
	}
	return sl
}

func solve(s, t string) int {
	maxMatch := 0
	for i := 0; i+len(t) <= len(s); i++ {
		match := 0
		for ci, sc := range s[i : i+len(t)] {
			if sc == rune(t[ci]) {
				match++
			}
		}
		if maxMatch < match {
			maxMatch = match
		}
	}
	return len(t) - maxMatch
}

func main() {
	scan := newScanner(os.Stdin)
	s, t := scan.String(), scan.String()
	fmt.Println(solve(s, t))
}