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Sukru loves geometry! Yesterday he found a 2D board on which there are N different dots, where each dot d_i is located at (x_i, y_i).
Now, he wishes to find the amount of right-angled triangles that can be formed by using these dots as vertices.
Bounds:
N <= 1000
-1000000000 <= x_i, y_i <= 1000000000
Input:
On the first line, the integer N is given. At i th of the following N lines, two integers (x_i, y_i) are given, representing the coordinates of d_i.
Output:
Print a single integer representing the number of right-angled triangles that can be formed by using these dots as vertices.
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