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.Scanner;

public class Main {
	public static void main(String[]args) {
		try(Scanner scan = new Scanner(System.in)){
			
			int N = scan.nextInt();
			int M = scan.nextInt();
			char[][]n = new char[N][N];
			char[][]m = new char[M][M];
			
			for(int i = 0;i<N;i++) {
				String s = scan.next();
				n[i] = s.toCharArray();
			}
			
			for(int i = 0;i<M;i++) {
				String string = scan.next();
				m[i]=string.toCharArray();
			}
			
			for(int i = 0;i<N-M+1;i++) {
				for(int j = 0;j<N-M+1;j++) {
					int count = 0;
					for(int z = 0;z<M;z++) {
						for(int w = 0;w<M;w++) {
							if(m[z][w]==n[i+z][j+w]) {
								count++;
							}
						}
					}
					
					if(count==M*M) {
						System.out.println("Yes");
						System.exit(0);
					}
					
					
				}
			}
			
			System.out.println("No");
			
			
			
		}
		
		
	}
		

}