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: Time Limit Exceeded)

s = gets.chomp
t = gets.chomp

n = s.size
m = t.size

min = 100000
m.times do |j|
	i = 0
	n.times do |i|
		count = 0
		next if i < j or n - i < m
		m.times do |k|
			count += 1 if s[i - j + k] == t[k]
		end
		min = [min, m - count].min
		i += 1
	end
end

p min