Given a permutation of number from 1 to N. Among all the subarrays, find the number of unique pairs \((a, b)\) such that \(a \neq b\) and a is maximum and b is second maximum in that subarray.

Input:
First line contains an integer, N \((1 \le N \le 10^5)\). Second line contains N space separated distinct integers, \(A_i\) \((1 \le A_i \le N)\), denoting the permutation.

Output:
Print the required answer.