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 PyPy3 (2.4.0) (judge verdict: Wrong Answer)

# -*- coding: utf-8 -*-
import sys
import copy
import collections
from bisect import bisect_left
from bisect import bisect_right
from collections import defaultdict
from heapq import heappop, heappush, heapify
import math
import itertools
import random
 
# NO, PAY-PAY
#import numpy as np
#import statistics
#from statistics import mean, median,variance,stdev
 
INF = float('inf')
def inputInt(): return int(input())
def inputMap(): return map(int, input().split())
def inputList(): return list(map(int, input().split()))
 
def main():
    N,M = inputMap()
    A = []
    for i in range(N):
        tmp = input()
        A.append(tmp)
        
    B = []
    for i in range(M):
        tmp = input()
        B.append(tmp)
        
    if N < M:
        print("No")
        sys.exit()
        
    if N == M:
        tmp1 = "".join(A)
        tmp2 = "".join(B)
        
        if tmp1 == tmp2:
            print("Yes")
        else:
            print("No")
        sys,exit()
        
    points = []
    for i,val in enumerate(A):
        tmp = run(val, B[0])
        if tmp != -1 and N-i >= M:
            points.append((i,tmp))
            tmp = run(val[tmp+1:], B[0])
            if tmp != -1 and N-i >= M:
                points.append((i,tmp))
                tmp = run(val[tmp+1:], B[0])
                if tmp != -1 and N-i >= M:
                    points.append((i,tmp))
            
    for i in points:
        lines, point = i
        flg = True
        for j,val in enumerate(B):
            tmp = A[lines+j].find(val)
            if tmp == -1:
                flg = False
        
        if flg == True:
            print("Yes")
            sys.exit()
            
    print("No")
    
def run(ss, dd):
    return ss.find(dd)
    
if __name__ == "__main__":
	main()