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) {

    	Main main=new Main();

    	main.run();

    }

    void run() {
    	Scanner sc=new Scanner(System.in);

    	int N=sc.nextInt();
    	int M=sc.nextInt();

    	String[][] A=new String[N][N];

    	for(int i=0;i<N;i++) {
    		A[i]=sc.next().split("");
    	}

    	String[][] B=new String[M][M];

    	for(int i=0;i<M;i++) {
    		B[i]=sc.next().split("");
    	}

    	int set=N-M;

    	for(int x=0;x<=set;x++) {
    		
    		for(int y=0;y<=set;y++) {
    			boolean isMatch=true;
    			for(int i=0;i<M;i++) {
    				for(int j=0;j<M;j++) {
    					if(!A[x+i][y+j].equals(B[i][j])) {
    						isMatch=false;
    					}
    				}
    			}

    			if(isMatch) {
    				System.out.println("Yes");
    				return;
    			}

    		}
    	}

    	System.out.println("No");

    }

}