Counting Triangles

Time Limit: 1 Second    Memory Limit: 32768 KB

Given an equilateral triangle with n the length of its side, program to count how many triangles in it.

Input

The length n (n <= 500) of the equilateral triangle's side, one per line.

process to the end of the file

Output

The number of triangles in the equilateral triangle, one per line.

Sample Input

1
2
3

Sample Output

1
5
13

Submit

Source: ZOJ Monthly, June 2003