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: Accepted)

using System;
using System.Collections.Generic;


namespace B_007_54
{
    internal class Program
    {
        private static void Main(string[] args)
        {

            new Logic_B().Start();//

        }

        public class Logic_B
        {
            public void Start()
            {
                var hw = Console.ReadLine().Split(' ');
                var ALength = Convert.ToInt32(hw[0]);
                var BLength = Convert.ToInt32(hw[1]);

                var AImage = new List<string>();
                for (int i = 0; i < ALength; i++)
                {
                    AImage.Add(Console.ReadLine());
                }

                var BImage = new List<string>();
                for (int i = 0; i < BLength; i++)
                {
                    BImage.Add(Console.ReadLine());
                }

                for (int i = 0; i < AImage.Count; i++)
                {
                    for (int j = 0; j < AImage.Count; j++)
                    {
                        var valid = false;
                        for (int m = 0; m < BImage.Count; m++)
                        {
                            for (int n = 0; n < BImage.Count; n++)
                            {
                                if (i + m >= AImage.Count || j + n >= AImage.Count)
                                {
                                    valid = false;
                                    break;
                                }
                                if (AImage[i + m][j + n] == BImage[m][n])
                                {
                                    valid = true;
                                }
                                else
                                {
                                    valid = false;
                                    break;
                                }
                            }
                            if (!valid)
                            {
                                break;
                            }
                        }
                        if (valid)
                        {
                            Console.WriteLine("Yes");
                            return;
                        }
                    }
                }
                Console.WriteLine("No");
            }
        }

    }
}