You will be given two sets of integers. Let's call them set A and set B. Set A contains n elements and set B contains m elements. You have to remove k1 elements from set A and k2 elements from set B so that of the remaining values no integer in set B is a multiple of any integer in set A. k1 should be in the range [0, n] and k2 in the range [0, m].

You have to find the value of (k1 + k2) such that (k1 + k2) is as low as possible. P is a multiple of Q if there is some integer K such that P = K * Q.

Suppose set A is {2, 3, 4, 5} and set B is {6, 7, 8, 9}. By removing 2 and 3 from A and 8 from B, we get the sets {4, 5} and {6, 7, 9}. Here none of the integers 6, 7 or 9 is a multiple of 4 or 5.

So for this case the answer is 3 (two from set A and one from set B).

n and m will be in the range [1, 1000].

Sample Input:

4 2 3 4 5 4 6 7 8 9

Output:

3 **** **Why the solution of this problem is maximum bipartite matching ?** **** **I have solved this question by successively removing the node which has maximum degree until all the edges are removed.** **Why this approach is wrong?**

This question is from lightoj , link is http://lightoj.com/volume_showproblem.php?problem=1149