1104 : Tian Ji's Horse Race Again

Description

Last time, the king of the country Qi lost to Tian Ji in a horse race as Tian using a little trick. Today, the king invites Tian to play another horse race. The king and Tian both have n horses, and no two horses have the same speed. They will play n rounds in this match. The horses on each side must appear in descending order of speed, and each of the horses must be used in one round. The horse with a faster speed will win in a single round. Since Tian’s horses are not so nice as the king’s, the king allows Tian to exchange some horses with him.

If Tian can exchange at most k horses with the king, what is the maximum number of rounds that Tian can win?

Input

There will be at most 200 test cases. Each case begins with two integers n, m(1 ≤ m ≤ n ≤ 10⁵), the number of horses on each side and the number of queries. The next line contains n positive integers, denoting the speeds of king’s horses in descending order. Then the following line contains n positive integers, denoting the speeds of Tian’s horses in descending order. The speed of each horse will not exceed 10⁶, and no two horses have the same speed. The queries are defined by the following m lines, and each line contains one integer k(0 ≤ k < n). The size of the whole input file does not exceed 10MB.

Output

For each query, print the maximum number of rounds that Tian can win, when he can exchange at most k horses with the king.

Sample

4 3
8 7 6 4
5 3 2 1
0
2
1
3 1
7 3 2
8 6 5
0

0
4
2
3

Hint

Source

Author

Staginner