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.Text;
using System.IO;


namespace StartFinish
{
	class Program
	{
		static void Main(string[] args)
		{
            int[] numberNM = Console.ReadLine().Split().Select(int.Parse).ToArray();
            string[] rowA = new string[numberNM[0]];
            string[] rowB = new string[numberNM[1]];
            for(int i = 0; i < numberNM[0]; i++)
            {
                rowA[i] = Console.ReadLine();
            }
            for(int i = 0; i < numberNM[1];i++)
            {
                rowB[i] = Console.ReadLine();
            }

            bool isSatisfied = false;
            int numA = 0;
            int numB = 0;
            while (numA<=numberNM[0])
            {
                while (rowA[numA].Contains(rowB[numB]))
                {
                    numA++;
                    numB++;
                    if (numB == numberNM[1])
                    {
                        isSatisfied = true;
                        break;
                    }
                }
                numA++;
                numB = 0;
                if (isSatisfied == true)
                {
                    break;
                }
            }

            if (isSatisfied == true)
            {
                Console.WriteLine("Yes");
            }else
            {
                Console.WriteLine("No");
            }

		}
	}
	
}