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 Haskell (GHC 8.8.3) (judge verdict: Accepted)

diff :: String -> String -> Int
diff xs xt = length [x | x <- zip xs xt, fst x /= snd x]

slice :: Int -> Int -> String -> String
slice start length str = take length $ drop start str

main :: IO ()
main = do
    s <- getLine
    t <- getLine
    let n = length s - length t
    let r = minimum $ map (diff t) [slice x (x + length t) s | x <- [0..n]] 
    (putStrLn . show) r