Circles - 2#201

Circles - 2

1 second
64 megabytes
Very easy

2 circles can divide the plane into a maximum of regions. What is the maximum number of regions that circles can divide the plane into?

Input

A single integer (N \leq 10^8), representing the number of circles.

Output

A single integer: the maximum number of regions the plane can be divided into.

Examples

Example 1

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