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 Scala (2.13.1) (judge verdict: Accepted)


object Main extends App {
  
  val sc = new java.util.Scanner(System.in) 
  val s = sc.next().toArray
  val t = sc.next().toArray
  val ans = for (i <- 0 to s.length - t.length) yield {
    (for (j <- 0 until t.length) yield if (s(i+j) == t(j)) 0 else 1).sum
  }
  println(ans.min)
}