Subsequences

Description:

Input:

First line contain two integer values n and k (1 ≤ n ≤ 10⁵, 0 ≤ k ≤ 10) — the length of sequence and the number of elements in increasing subsequences.

Next n lines contains one integer a_i (1 ≤ a_i ≤ n) each — elements of sequence. All values a_i are different.

Output:

Print one integer — the answer to the problem.

Sample Input:

5 2
1
2
3
5
4

Sample Output:

7