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 Python (3.8.2) (judge verdict: Accepted)

import sys

sys.setrecursionlimit(10 ** 6)
input = sys.stdin.readline
from math import floor, sqrt, factorial, hypot, log  # log2ないｙｐ
from heapq import heappop, heappush, heappushpop
from collections import Counter, defaultdict, deque
from itertools import accumulate, permutations, combinations, product, combinations_with_replacement
from bisect import bisect_left, bisect_right
from copy import deepcopy
from fractions import gcd
from random import randint


def ceil(a, b): return (a + b - 1) // b


inf = float('inf')
mod = 10 ** 9 + 7


def pprint(*A):
    for a in A:     print(*a, sep='\n')


def INT_(n): return int(n) - 1


def MI(): return map(int, input().split())


def MF(): return map(float, input().split())


def MI_(): return map(INT_, input().split())


def LI(): return list(MI())


def LI_(): return [int(x) - 1 for x in input().split()]


def LF(): return list(MF())


def LIN(n: int): return [I() for _ in range(n)]


def LLIN(n: int): return [LI() for _ in range(n)]


def LLIN_(n: int): return [LI_() for _ in range(n)]


def LLI(): return [list(map(int, l.split())) for l in input()]


def I(): return int(input())


def F(): return float(input())


def ST(): return input().replace('\n', '')
import sys
import itertools
import copy


def main():
    # D, T, S = MI()
    # L = LLIN(N)
    S = ST()
    T = ST()

    if T in S:
        print(0)
        sys.exit()
    len_s = len(S)
    len_t = len(T)
    diff = len_s - len_t
    match_list = []

    if len_t == len_s:
        cnt_match = 0
        for j in range(len_t):
            if S[j] == T[j]:
                cnt_match+=1
        match_list.append(cnt_match)
        print(len_t - max(match_list))
        sys.exit()

    for i in range(diff):
        cnt_match = 0
        for j in range(len_t):
            if S[j + i] == T[j]:
                cnt_match+=1
        match_list.append(cnt_match)
    # print(match_list)
    # print(len_t)
    # print(max(match_list))
    # if len(match_list) == 0:

    print(len_t - max(match_list))
    # ushiro = 0
    # for i in range(len(T)):
    #     print(T[0:len(T)-i])
    #     a = T[0:len(T)-i]
    #     ushiro = i
    #     if a in S:
    #         break
    # mae = 0
    # for i in range(len(T)):
    #     print(T[i:len(T)])
    #     b = T[i:len(T)]
    #     mae = i
    #     if b in S:
    #         break
    # print(ushiro)
    # print(mae)
    # if min(ushiro,mae) == 0:
    #     print(0)
    #     sys.exit()

    # print(min(ushiro,mae) - 1)
    #     if T[-i]
    # if D / T <= S:
    #     print('Yes')
    # else:
    #     print('No') 
    # cnt = 0
    # for l in L:
    #     num = l[0] ** 2 + l[1] ** 2 
    #     if num <= D ** 2:
    #         cnt+=1
    # print(cnt)
    # print(row)
    # total = sum(row)
    # target = total - K
    # if K == total:
    #     print(1)
    #     sys.exit()
    # col = []
    # for w in range(W):
    #     cnt = 0
    #     for h in range(H):    
    #         print(A[h][w])
    #         if A[h][w] == '#':
    #             cnt += 1
    #     col.append(cnt)
    # print(col)
    # ans = 0
    # for w in range(W):
    #     for h in range(H):
    #         if A[h][w] == '#':
    #             if col[w] + row[h] - 1 == target:
    #                 print(str(h) + str(w))
    #                 ans +=1
    #         else:
    #             if col[w] + row[h] == target:
    #                 print(str(h) + str(w))
    #                 ans +=1
    # print(ans)
    #     for  in x:


    # print('AC x ' + str(cnt['AC']))
    # print('WA x ' + str(cnt['WA']))
    # print('TLE x ' + str(cnt['TLE']))
    # print('RE x ' + str(cnt['RE']))
    

if __name__ == '__main__':
    main()