#642. Local peaks
How many inner elements (not the first or the last) are strictly greater than both of their neighbors?
### Input
The first line has n, the second line has n integers separated by spaces.
### Output
A number.
Examples
Input
15 15 3 9 1 12 2 2 12 1 7 5 20 4 16 13
Output
6
Input
9 13 18 3 9 20 6 16 10 7
Output
3
💡 You can solve it with Python, JavaScript or blocks. Read the input line by line with input(). Don't print a question (like input("Number: ")). Print exactly what the output asks for, nothing more.