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 C# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;
using System.IO;
using System.Linq;
using System.Collections.Generic;
using static System.Math;
using static System.Console;
using static System.Linq.Enumerable;
using static System.Numerics.BitOperations;

namespace abc177{
    class SolverB{
        static void Main(){
            SetOut(new StreamWriter(Console.OpenStandardOutput()){AutoFlush = false});
            new SolverB().Solve();
            Out.Flush();
        }

        public void Solve(){
            checked{

                char[] S = Get.Str().ToCharArray();
                char[] T = Get.Str().ToCharArray();

                int ls = S.Length;
                int lt = T.Length;
                int ans = int.MaxValue;
                for(int i=0; i<ls-(lt-1); i++){
                    int dif = 0;
                    for(int j=0; j<lt; j++){
                        if(S[i+j] != T[j]){
                            dif++;
                        }
                    }
                    ans = Min(ans,dif);
                }
                WriteLine(ans);
            }
        }



        static class Debug{
            public static void Put(object obj, int padLeft = 0, bool newline = true){

                if (obj is Array arr){
                    if( arr.Rank == 1 ){
                        Write("[");
                        for(int i=0; i<arr.Length; i++){
                            Put(arr.GetValue(i), padLeft, false);
                            if( i < arr.Length - 1 ) Write(", ");
                        }
                        Write("]");
                    }
                    else if( arr.Rank == 2 ){
                        Write("[\n");
                        for(int i=0; i<arr.GetLength(0); i++){
                            Write(" [");
                            for(int j=0; j<arr.GetLength(1); j++){
                                Put(arr.GetValue(i,j), padLeft, false);
                                if (j < arr.GetLength(1) - 1) Write(", ");
                            }
                            if (i < arr.GetLength(0) - 1 ) Write("],\n");
                            else Write("]\n");
                        }
                        Write("]");
                    }
                }
                else if( obj is ValueType val ){
                    Write(val.ToString().PadLeft(padLeft));
                }
                else if( obj is string str ){
                    Write(str.PadLeft(padLeft));
                }
                else{
                    Write(obj.ToString().PadLeft(padLeft));
                }

                if(newline) Write("\n");
            }

            public static void Put(object obj, string label, int padLeft = 0, bool newline = true){
                Write("\u001b[32m{0}:\u001b[0m ", label);
                Put(obj, padLeft, newline);
            }
            public static void Put(params object[] args){
                if (args.Length % 2 != 0){
                    WriteLine("Debug.Put(params): arg length shall be multiple of 2.");
                }
                for(int i=0; i<args.Length; i += 2){
                    Put(args[i], (string)args[i+1],0, false);
                    Write("   ");
                }
                Write("\n");
            }
        }

        static class Get{
            public static string Str() => ReadLine().Trim();
            public static int Int() => int.Parse(Str());
            public static long Long() => long.Parse(Str());
            public static double Double() => double.Parse(Str());
            public static string[] Strs() => Str().Split(' ', StringSplitOptions.RemoveEmptyEntries);
            public static int[] Ints() => Strs().Select(int.Parse).ToArray();
            public static long[] Longs() => Strs().Select(long.Parse).ToArray();
            public static double[] Doubles() => Strs().Select(double.Parse).ToArray();
            static bool TypeEq<T,U>() => typeof(T).Equals(typeof(U));
            static T TypeConv<T,U>(U u) => (T)Convert.ChangeType(u, typeof(T));
            static T TypeConv<T>(string s) => TypeEq<T, int>() ?   TypeConv<T, int>(int.Parse(s))
                                        : TypeEq<T, long>() ?       TypeConv<T, long>(long.Parse(s))
                                        : TypeEq<T, double>() ?     TypeConv<T, double>(long.Parse(s))
                                        : TypeConv<T, string>(s);
            public static (T,U) Tuple<T,U>() {string[] strs = Strs(); T t = TypeConv<T>(strs[0]); U u = TypeConv<U>(strs[1]); return(t,u);}
            public static (T,U,V) Tuple<T,U,V>() {string[] strs = Strs(); T t = TypeConv<T>(strs[0]); U u = TypeConv<U>(strs[1]); V v = TypeConv<V>(strs[2]); return(t,u,v);}
        }
    }
}