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 Java (OpenJDK 11.0.6) (judge verdict: Wrong Answer)

import java.util.*;

public class Main{

	public static void main(String[] args){

		Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int m = sc.nextInt();
        char[][] nn = new char[50][50];
        char[][] mm = new char[50][50];
       
        for(int i = 0; i < n; i++){
          String next = sc.next();
          char[] Next = next.toCharArray();
          for(int j = 0; j < n; j++){
            nn[i][j] = Next[j];
          }
        }
      
        for(int i = 0; i < m; i++){
          String next = sc.next();
          char[] Next = next.toCharArray();
          for(int j = 0; j < m; j++){
            mm[i][j] = Next[j];
          }
        }

      
       boolean ex = false; 
       for(int i = 0; i < n-m+1; ++i){
         for(int j = 0; j < n-m+1; ++j){
             boolean match  = true;
             for(int l = 0; l < m; ++l){
               for(int k = 0; k < m; ++k){
                 if(nn[i+l][j+k] != mm[l][k]){
                   match = false;
                 }
               }
               if(match){
                 ex = true;
              }
               
             
           }
           
         }
       }
      
       if(ex){
         System.out.println("Yes");
       }else{
          System.out.println("No");
       }

	}
}