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 Ruby (2.7.1) (judge verdict: Wrong Answer)

S = gets.chomp
T = gets.chomp

len_s = S.length
len_t = T.length

max_len = 0

0.upto(len_t-1).each{ |a|
  a.upto(len_t-1){ |b|
    s_last = (len_s - 1) - ((len_t - 1) - b)
    if S[a..s_last].include? T[a..b]
      if max_len < b - a + 1
        max_len = b - a + 1
      end
    end
  }
}

puts (len_t - max_len)