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: Wrong Answer)

import java.util.*;
import java.util.stream.IntStream;
import java.util.stream.Stream;

class Main{
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int h = sc.nextInt(), w = sc.nextInt(),count;
        String ans = "No";
        List<String> hList = new ArrayList<>();
        List<String> wList = new ArrayList<>();
        for (int i = 0; i < h; i++) {hList.add(sc.next());}
        for (int i = 0; i < w; i++) {wList.add(sc.next());}
        for (int i = 0; i < w; i++) {
            count = hList.get(i).indexOf(wList.get(i));
            if (count != -1) {
                for (int j = 1; j < w; j++) {
                    if (dfs(count, hList.get(j), wList.get(j))) {
                    } else {
                        break;
                    }
                    if(j == w-1) ans = "Yes";
                }
            }
        }
        System.out.println(ans);
    }
    static boolean dfs(int index,String hList,String wList){
            if(hList.indexOf(wList) == index) {
                return true;
            }else{
                return false;
            }
    }
}