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Subimage Recognition
Time Limit: 1000MSMemory Limit: 131072K
Total Submissions: 3211Accepted: 1226

Description

An image A is said to be a subimage of another image B if it is possible to remove some rows and/or columns of pixels from B so that the resulting image is identical to A. Figure 6 illustrates an example. Image A, shown in Figure 6(a), is a subimage of image B, shown in Figure 6(b), because the image resulting from the removal of the middle row and column of pixels from B is identical to A.

  
  
   
   
   
(a) Image A(b) Image B

Figure 6: An example of a subimage

Given two black-and-white images A and B, determine whether A is a subimage of B.

Input

The input contains a single test case. The first line contains two integers r and c (1 ≤ r, c ≤ 20), the dimensions of A. The following r lines, each containing a string of length c, give an r × c 0-1 matrix representing the pixels of A. The next line contains two integers R and C (rR ≤ 20; cC ≤ 20), the dimensions of B. The following R lines, each containing a string of length C, give an R × C 0-1 matrix representing the pixels of B. A 0 indicates a white pixel; a 1 indicates a black pixel.

Output

If A is a subimage of B, print “Yes”; otherwise, print “No”.

Sample Input

2 2
11
10
3 3
101
000
100

Sample Output

Yes

Source

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