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.Linq;


namespace abc_054_B
{
    class Program
    { 
        static void Main(string[] args)
        {
         //   while (true) { break; }
            int e = 0;
            int[] jh = Console.ReadLine().Split().Select(int.Parse).ToArray();
            int a = jh[0], b = jh[1];
            string[,] az = new string[a, a];
            string[,] bz = new string[b, b];
            for (int i = 0; i < a; i++)
            {
                var gh = Console.ReadLine();
                for (int k = 0; k < a; k++)

                {
                    az[i, k] = gh.Substring(k, 1);
                }
            }
            for (int i = 0; i < a; i++)
            {
                var gh = Console.ReadLine();
                for (int k = 0; k < b; k++)

                {
                    bz[i, k] = gh.Substring(k, 1);
                }


            }
            for (int i = 0; i < a - b + 1; i++)
            {
                if (e == 0)
                {
                    for (int k = 0; k < a - b + 1; k++)
                    {
                        if (e == 0)
                        {
                            for (int m = 0; m < b; k++)
                            {
                                if (e == 0)
                                {
                                    for (int u = 0; u < b; u++)
                                    {
                                        if (az[i+m , k+u] == bz[m, u])
                                        {
                                            e = 1;
                                        }
                                    }
                                }
                                else { break; }
                            }
                        }
                        else { break; }
                    }
                }
                else { break; }
            }
            if (e == 1) { Console.WriteLine("Yes"); }
            else { Console.WriteLine("No"); }
        }
    }
}