Chessboard#9541

Chessboard

1 second
128 megabytes
Easy

The cells of the chessboard of size n \times n are enumerated with positive integers from to n^2 as shown in the picture. Find the sum of integers on white cells.

4.jpg

Input

One even positive integer (n \le 10^3).

Output

Print the sum of integers on white cells.

Examples

Example 1

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