N people are waiting in line to enter a concert. People get bored waiting so they turn and look for
someone familiar in the line.
Two persons A and B standing in line can see each other if they're standing right next to each other or
if no person between them is strictly taller than person A or person B.
Write a program that determines the number of pairs of people that can see each other.
The first line of input contains an integer N (\(1 \le N \le 500\,000\)), the number of people standing in line.
Each of the following N lines contains a single integer, the height of one person in nanometres.
Everyone will be shorter than \(2^{31}\) nanometres.
The heights are given in the order in which people are standing in line.
Output the number of pairs of people that can see each other on a single line.
7
2
4
1
2
2
5
110