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 Julia (1.4.0) (judge verdict: Accepted)

function F()
  S = readline()
  T = readline()
 
  c = []
  
  for i =1:length(S)-length(T)+1
    s = 0
    for j = 1:length(T)
      if S[i+j-1] == T[j]
        s += 1
      
      end
      ss = length(T)-s
      c = append!(c,ss)
    end
  end
  
  println(minimum(c))
end
F()