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# (Mono 4.6.2.0) (judge verdict: Runtime Error)

using System;
using System.Collections.Generic;
using System.Linq;
using System.IO;
using System.Text;
using static System.Console;
using static System.Math;


namespace AtCodeeeer
{
    class AtCOOOOOOOOOOOder
    { 
        static void Main(string[] args)
        {
            int[] s = ReadLine().Split(' ').Select(int.Parse).ToArray();
            char[,] A = new char[s[0], s[0]];
            char[,] B = new char[s[1], s[1]];

            for (int i = 0; i < s[0]; i++)
            {
                string tmp = ReadLine();
                for (int j = 0; j < s[0]; j++)
                {
                    A[i, j] = tmp[j];
                }
            }
            for (int i = 0; i < s[1]; i++)
            {
                string tmp = ReadLine();
                for (int j = 0; j < s[1]; j++)
                {
                    B[i, j] = tmp[j];
                }
            }
            //judge
            //i,jは左上を示す
            string ans = "No";
            for (int i = 0; i <= s[0] - s[1]; i++)
            {
                for (int j = 0; j <= s[0] - s[1]; j++)
                {
                    if (judge(A, B, i, j, s[1]))
                    {
                        ans = "Yes";
                        break;
                    }
                }
            }
            WriteLine(ans);
        }

        static bool judge(char[,] A,char[,] B,int i,int j,int m)
        {
            for (int k = i; k < m+i; k++)
            {
                for (int l = j; l < m+j; l++)
                {
                    if (A[k,l] != B[k,l])
                    {
                        return false;
                    }
                }
            }
            return true;
        }
    }
}