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: Accepted)

S = gets.chomp
T = gets.chomp

s_n = S.chars
t_n = T.chars
s_l = s_n.length
t_l = t_n.length
ans = t_l
(0..(s_l-t_l)).each do |i|
  count = 0
  (0..t_l-1).each do |j|
    count += 1 if s_n[i+j] != t_n[j]
  end
  ans = [ans, count].min
end

p ans