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Rasta and Kheshtak
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Binary search algorithm, Hash function, Sorting algorithm

Problem
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See Russian translation

Rasta is a big fan of Kheshtaks. A Kheshtak is a rectangle that in each of it cells there is an integer.

Today rasta came up with an interesting problem, Biggest Common Subsquare (BCS). A Kheshtak is called a Square if the number of its columns is equal to the number of its rows. A Square S is called a subsqaue of a Kheshtak A if and only if we can turn A to S by deleting some of its rows and some of its columns (maybe none).

He gives you two Kheshtaks, A and B (A one is n × m and B is x × y).

Input format

The first line of input contains n and m.

Then you are given A (n lines, in each line there are m space separated integers).

After that you are given x and y.

Then you are given B (x lines, in each line there are y space separated integers).

1 ≤ n, m, x, y ≤ 700 and all numbers in A and B are integers in the interval [1, 1000].

Output format

Print the size of BCS of A and B in a single line (size of a Square is number of its rows).

SAMPLE INPUT
3 3
1 2 0
1 2 1
1 2 3
3 3
0 1 2
1 1 2
3 1 2
SAMPLE OUTPUT
2
Time Limit: 2.0 sec(s) for each input file.
Memory Limit: 256 MB
Source Limit: 1024 KB

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