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.RegularExpressions;

namespace ConsoleApplication
{
    public class main
    {
        static void Main()
        {
            var input = Console.ReadLine().Split(' ');
            int a = int.Parse(input[0]);
            int b = int.Parse(input[1]);
            calc(a, b);

        }
        public static void calc(int a, int b)
        {

            char[,] asum = new char[a, a];
            char[,] bsum = new char[b, b];

            for (var i = 0; i < a; i++)
            {
                var aInput = Console.ReadLine();
                Console.WriteLine(aInput);
                Console.WriteLine(aInput.Length);
                for (var y = 0; y < a; y++)
                {


                    asum[i, y] = aInput[y];
                }
            }

            Console.WriteLine("passed a");
            Console.WriteLine("test  a 2d array is ");

            for (var i = 0; i < a; i++)
            {
                for (var y = 0; y < a; y++)
                {
                    Console.Write(asum[i, y]);
                }
            }

            for (var i = 0; i < b; i++)
            {
                var binput = Console.ReadLine();

                for (var y = 0; y < b; y++)
                {
                    var bInt = binput[y];

                    bsum[i, y] = bInt;
                }
            }

            Console.WriteLine("test  b 2d array is ");

            for (var i = 0; i < b; i++)
            {
                for (var y = 0; y < b; y++)
                {
                    Console.Write(bsum[i, y]);
                }
            }
            var counter = 0;
            bool isMatch = true;
            for (var i = 0; i < a; i++)
            {
                for (var y = 0; y < a; y++)
                {
                    for (var x = 0; x < b; x++)
                        for (var c = 0; c < b; b++)
                        {
                            if (asum[i, y] == bsum[x, c])
                            {
                                counter++;
                            }
                            if (counter == b)
                            {
                                Console.WriteLine("Yes");
                                break;
                            }
                            counter = 0;
                        }

                }
                isMatch = false;
            }
            if (isMatch) {
                Console.WriteLine("Yes");
            } else {
                Console.WriteLine("No");
            }
        }
    }
}