CF1180A Alex and a Rhombus
Description
While playing with geometric figures Alex has accidentally invented a concept of a $ n $ -th order rhombus in a cell grid.
A $ 1 $ -st order rhombus is just a square $ 1 \times 1 $ (i.e just a cell).
A $ n $ -th order rhombus for all $ n \geq 2 $ one obtains from a $ n-1 $ -th order rhombus adding all cells which have a common side with it to it (look at the picture to understand it better).
Alex asks you to compute the number of cells in a $ n $ -th order rhombus.
Input Format
The first and only input line contains integer $ n $ ( $ 1 \leq n \leq 100 $ ) — order of a rhombus whose numbers of cells should be computed.
Output Format
Print exactly one integer — the number of cells in a $ n $ -th order rhombus.
Explanation/Hint
Images of rhombus corresponding to the examples are given in the statement.