ZCMU暑期训练四-G - Alex and a Rhombus

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

A 11-st order rhombus is just a square 1×11×1 (i.e just a cell).

A nn-th order rhombus for all n≥2n≥2 one obtains from a n−1n−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 nn-th order rhombus.

Input
The first and only input line contains integer nn (1≤n≤1001≤n≤100) — order of a rhombus whose numbers of cells should be computed.

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

Examples
Input
1
Output
1
Input
2
Output
5
Input
3
Output
13
Note
Images of rhombus corresponding to the examples are given in the statement.

#include<iostream>
using namespace std;
int main(){int n;cin>>n;int sum=1;for(int i=2;i<=n;i++){sum+=4*(i-1);}cout<<sum<<endl;
}

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