Description: For the given sequence with n different elements find the number of increasing subsequences with k + 1 elements. It is guaranteed that the answer is not greater than 8·1018. Input Format: 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 ai (1 ≤ ai ≤ n) each — elements of sequence. All values ai are different. Output Format: Print one integer — the answer to the problem. Note: None