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: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

class Class_
{
	void Test()
	{
		var NM = A_Int_();

		var m = new string[NM[0]];

		for (int i = 0; i < NM[0]; i++)
		{
			m[i] = S_String_();
		}

		var n = new string[NM[1]];

		for (int i = 0; i < NM[1]; i++)
		{
			n[i] = S_String_();
		}

		for (int i = 0; i < NM[0] - NM[1]+1; i++)
		{
			for (int j = 0; j < NM[0] - NM[j]+1; j++)
			{
				//
				for (int a = 0; a < NM[1]; a++)
				{
					for (int b = 0; b < NM[1]; b++)
					{
						if (m[i][j] != n[a][b])
						{
							goto ll;
						}
					}
				}

				Console.WriteLine("Yes");
				return;
			}
		}
		ll:
	



			Console.WriteLine("No");

	}

	static void Main(string[] args)
  {
    new Class_().Test();
  }

  #region

  string S_String_()
  {
    return Console.ReadLine();
  }

	//
	string[] A_String_()
  {
    return Console.ReadLine().Split();
  }

  int[] A_Int_(int n)
  {
    var x = new int[n];
    for (var i = 0; i < n; i++)
    {
      x[i] = int.Parse(Console.ReadLine());
    }
    return x;
  }

	//
	int[] A_Int_()
  {
    var ss = Console.ReadLine().Split();

    var x = new int[ss.Length];
    for (var i = 0; i < ss.Length; i++)
      x[i] = int.Parse(ss[i]);

    return x;
  }
  #endregion
}