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.Collections.Generic;

class Program
    {
        static void Main(string[] args)
        {
            string line = System.Console.ReadLine().Trim();

            string[] Data = line.Split(' ');
            int N = int.Parse(Data[0]);
            int M = int.Parse(Data[1]);

            List<string> data = new List<string>();


            for (int i = 0; i < N; i++)
            {
                 line = System.Console.ReadLine().Trim();
                 data.Add(line);
            }

            for (int i = 0; i < M; i++)
            {
                line = System.Console.ReadLine().Trim();

                bool flag = true;

                for(int j = 0; j < N; j++)
                {
                    int index = data[j].IndexOf(line);

                    if(index == -1)
                    {
                        flag = false;
                    }
                }
                
                
                if(flag)
                {
                  System.Console.WriteLine("Yes");
                }
                else
                {
                    System.Console.WriteLine("No");
                }
            }     
        }
    }