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Statement

While playing with geometric figures Alex has accidentally invented a concept of a n n -th order rhombus in a cell grid.

A 1 1 -st order rhombus is just a square 1×1 1 \times 1 (i.e just a cell).

A n n -th order rhombus for all n2 n \geq 2 one obtains from a n1 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 n -th order rhombus.

Format

Input

The first and only input line contains integer n n ( 1n100 1 \leq n \leq 100 ) — order of a rhombus whose numbers of cells should be computed.

Output

Print exactly one integer — the number of cells in a n n -th order rhombus.

Sample

1
1
2
5
3
13

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开始于
2024-12-10 23:00
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2024-12-15 13:00
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