Your friend needs you to help him golf his coding assignment! The problem is as follows:

Given an integer $n$ $(1\le n\le {10}^6)$, calculate the sum of the first $n$ cubes: $1^3+2^3+\cdots +n^3$.

Note: You may only submit to this problem in Python 3.

Input Specification

The first line of input contains a single integer $n$.

Output Specification

Output the sum of the first $n$ cubes.

Scoring

Your score will be computed based on the length of your source code, the shorter the better. For an $L$-byte program,

• if $L\le 34$, you will receive the full $100$ points.
• if $35\le L\le 37$, you will receive $80-10\times (L-35)$ points.
• if $38\le L$, you will receive $\lfloor 2^{0.26(60-L)}\rfloor$ points.

Sample Input

4

Sample Output

100