#P2789. Intersection Points of Lines

    ID: 16051 Type: Default 1000ms 256MiB

Intersection Points of Lines

Intersection Points of Lines

Given a plane with N straight lines such that no three lines are concurrent, determine the number of intersection points among these lines.

The number of intersection points is given by the formula: \(\binom{N}{2} = \frac{N(N-1)}{2}\).

inputFormat

The input consists of a single line containing an integer N (0 ≤ N ≤ 109) representing the number of lines.

outputFormat

Output a single integer, the number of intersection points computed using the formula \(\frac{N(N-1)}{2}\).

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