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 static System.Console;
using static System.Convert;
class Program
{
    static void Main(string[] args)
    {
        var input = ReadLine().Split(' ');
        var num1 = ToInt32(input[0]);
        var num2 = ToInt32(input[1]);

        var PicA = new string[num1];
        var PicB = new string[num2];
        for (var i = 0; i < num1 + num2; i++)
        {
            var str = ReadLine();
            if (i < num1) PicA[i] = str;
            else PicB[i % num1] = str;
        }

        for (var i = 0; i < num1; i++)
        {
            var counter = 0;
            var isSame = true;
            while (true)
            {
                if (!PicA[i].Contains(PicB[0])) { isSame = false; break; }
                var index = PicA[i].IndexOf(PicB[0],counter*PicB.Length);
                if (index == -1||PicA.Length-i-PicB.Length<0) { isSame = false; break; }
               isSame = true;
                for (var j = 1; j < num2; j++)
                {
                    for(var h = 0; h < PicB[j].Length; h++)
                    {
                        if (!(PicA[j+i].Substring(index + h, 1) == PicB[j].Substring(h, 1))) { isSame = false; break; }
                    }
                    if (!isSame) break;
                }
                if (isSame) { WriteLine("Yes");break; }
                counter++;
            }
            if (isSame) break;
            if (i == num1 - 1) WriteLine("No");
        }
    }
}