Counting the Green Days

Halcyon's morning note opens with a count of green days: days on which the share closed above the day before. A day that closes exactly level is not green — the desk reports unchanged days separately — so this count is of days that genuinely gained ground.

Task: Print how many days closed higher than the day before them.

Input

The first line holds an integer n, always at least 2. Each of the next n lines holds one day's closing price.

Output

One line: a whole number, somewhere between 0 and n - 1. The opening day has nothing before it and can never be green. Print 0 for a share that never gained.

Example:

Input:
4
3
4
2
5

Output:
2