Problem:
Score : 200 points

Problem Statement

You are given an image A composed of N rows and N columns of pixels, and a template image B composed of M rows and M columns of pixels.

A pixel is the smallest element of an image, and in this problem it is a square of size 1×1.

Also, the given images are binary images, and the color of each pixel is either white or black.

In the input, every pixel is represented by a character: . corresponds to a white pixel, and # corresponds to a black pixel.

The image A is given as N strings A_1,...,A_N.

The j-th character in the string A_i corresponds to the pixel at the i-th row and j-th column of the image A (1≦i,j≦N).

Similarly, the template image B is given as M strings B_1,...,B_M.

The j-th character in the string B_i corresponds to the pixel at the i-th row and j-th column of the template image B (1≦i,j≦M).

Determine whether the template image B is contained in the image A when only parallel shifts can be applied to the images.

Constraints

1≦M≦N≦50

A_i is a string of length N consisting of # and ..

B_i is a string of length M consisting of # and ..

Input

The input is given from Standard Input in the following format:

N M
A_1
A_2
:
A_N
B_1
B_2
:
B_M

Output

Print Yes if the template image B is contained in the image A. Print No otherwise.

Sample Input 1

3 2
#.#
.#.
#.#
#.
.#

Sample Output 1

Yes

The template image B is identical to the upper-left 2 × 2 subimage and the lower-right 2 × 2 subimage of A. Thus, the output should be Yes.

Sample Input 2

4 1
....
....
....
....
#

Sample Output 2

No

The template image B, composed of a black pixel, is not contained in the image A composed of white pixels.

Solution in C# (.NET Core 3.1.201) (judge verdict: Wrong Answer)

using System;
using System.Text;
using System.Collections.Generic;
using System.Collections;
using static System.Math;
using System.Linq;
using static System.Array;

namespace ConsoleApp2
{
    class Program
    {
        static long N;
        static long M;
        static string[] A;
        static string[] B;
        static void Main(string[] args)
        {
            //N = long.Parse(Console.ReadLine());
            var NM = Console.ReadLine().Split(' ').Select(x => long.Parse(x)).ToArray();
            N = NM[0];
            M = NM[1];
            A = new string[N];
            B = new string[M];

            for (int i = 0; i < N; i++)
            {
                A[i] = Console.ReadLine();
            }

            for (int i = 0; i < M; i++)
            {
                B[i] = Console.ReadLine();
            }

            var ans = false;
            for (int i = 0;!ans && i < N - M; i++)
            {
                for (int j = 0;!ans && j < N - M; j++)
                {
                    ans = Match(i, j);
                }
            }

            Console.WriteLine(ans? "Yes":"No");
        }

        static bool Match(int i,int j)
        {
            var orii = i;
            var orij = j;

            //for (;i < orii+M; i++)
            //{

            //    for (j = orij; j < orij + M; j++)
            //    {
            //        if(A[i][j] != B[i - orii][j - orij])
            //        {
            //            return false;
            //        }
            //    }
            //}

            for (int k = 0; k < M; k++)
            {
                for (int l = 0; l < M; l++)
                {
                    if (A[orii+k][orij+l] != B[k][l])
                    {
                        return false;
                    }
                }
            }
            return true;
        }
       
    }


}