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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)


import java.util.*;

/**
 * Created by Seiya on 2016/10/16.
 */

public class Main {

    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int N = scanner.nextInt();
        int M = scanner.nextInt();

        int[][] map = new int[N][N];
        int[][] mado = new int[N][N];
        for (int i = 0; i < N; i++) {
            String s = scanner.next();
            for (int j = 0; j < N; j++) {
                map[i][j] = s.charAt(j) == '#' ? 0 : 1;
            }
        }
        for (int i = 0; i < M; i++) {
            String s = scanner.next();
            for (int j = 0; j < M; j++) {
                mado[i][j] = s.charAt(j) == '#' ? 0 : 1;
            }
        }

        int ok = 0;
        for (int i = 0; i <= N - M; i++) {
            for (int j = 0; j <= N - M; j++) {
                int ans = 0;

                for (int k = 0; k < M; k++) {
                    for (int l = 0; l < M; l++) {
                        if(map[i + k][j + l] != mado[k][l])break;
                        ans++;
                    }
                }
                if(ans == M * M)ok = 1;



            }
        }


        if(ok == 1){
            System.out.println("Yes");
        }else{
            System.out.println("No");
        }



    } // mainMethod



} // MainClass