Queries about less or equal elements

Description:

Input:

The first line contains two integers n, m (1 ≤ n, m ≤ 2·10⁵) — the sizes of arrays a and b.

The second line contains n integers — the elements of array a ( - 10⁹ ≤ a_i ≤ 10⁹).

The third line contains m integers — the elements of array b ( - 10⁹ ≤ b_j ≤ 10⁹).

Output:

Print m integers, separated by spaces: the j-th of which is equal to the number of such elements in array a that are less than or equal to the value b_j.

Sample Input:

5 4
1 3 5 7 9
6 4 2 8

Sample Output:

3 2 1 4

Sample Input:

5 5
1 2 1 2 5
3 1 4 1 5

Sample Output:

4 2 4 2 5