Problems
Triangular web
Triangular web
In front of you there is an endless triangular grid. It is arranged in such a way that if you fire a vertex, then this vertex lights up, next second all the vertices next to the given one light up, then all the vertices next to those already burning light up, etc. Consider that the fire will never go out.
Initially, only one vertex fires. Find the number of burning vertices after n seconds.
Input data
One number n (0 ≤ n ≤ 10^9).
Output data
Print the number of burning vertices after n seconds.
Examples
Input example #1
1
Output example #1
7
Input example #2
1500
Output example #2
6754501