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Description

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.

Input Format

The first line of each test case contains an integer N (1 ≤ N ≤ 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 231 nanometres.

The heights are given in the order in which people are standing in line.

Output Format

Output the number of pairs of people that can see each other on a single line.

Sample Input 1

7
2
4
1
2
2
5
1

Sample Output 1

10

Hints

Problem Source

Migrated from old NTUJ.

Subtasks

No. Testdata Range Score

Testdata and Limits

No. Time Limit (ms) Memory Limit (VSS, KiB) Output Limit (KiB) Subtasks
0 6000 65536 4