Count Possible Triangles

easy
Given an unsorted array arr[] of n positive integers. Find the number of triangles that can be formed with three different array elements as lengths of three sides of triangles. 

Input Format

Input is managed for you

Output Format

Output is managed for you

Constraints

3 <= n <= 10^3
1 <= arr[i] <= 10^3

Notice

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Example

Input
5
6 4 9 7 8
Output
10
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