Square and Points#133

Square and Points

1 second
64 megabytes
Very easy

Given a grid of points with integer coordinates, determine the maximum number of such points that can be covered by a square with side length .

Input

A single integer (1 \leq N \leq 10000) — the side length of the square.

Output

Output the maximum number of points with integer coordinates that can be covered by the square.

Examples

Example 1

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