Ice Balls#11012

Ice Balls

1 second
64 megabytes
Very easy

At the North Pole, a polar bear is teaching her cubs mathematics using ice spheres. She plans to create spheres, each with a radius ranging from to . Your task is to help the bear calculate the total volume of ice, in cubic meters, required to make these spheres. Each sphere is formed from a cube whose edge length is equal to the diameter of the sphere.

Input

A single integer , representing the number of ice spheres, where 1 \leq N \leq 5\,000.

Output

An integer , representing the total cubic meters of ice needed to create these ice spheres.

Examples

Example 1

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Note

8 + 64 + 216 = 288