Problem: A robot is standing at the origin of the infinite two-dimensional plane. Each second the robot moves exactly 1 meter in one of the four cardinal directions: north, south, west, and east. For the first step the robot can choose any of the four directions, but then at the end of every second it has to turn 90 degrees left or right with respect to the direction it just moved in. For example, if the robot has just moved north or south, the next step it takes has to be either west or east, and vice versa.

The robot makes exactly n steps from its starting position according to the rules above. How many different points can the robot arrive to at the end? The final orientation of the robot can be ignored.

Input

The only line contains a single integer n (1 ≤ n ≤ 1000) — the number of steps the robot makes.

Output

Print a single integer — the number of different possible locations after exactly n steps.

Examples

Input


1


Output


4


Input


2


Output


4


Input


3


Output


12

Note

In the first sample case, the robot will end up 1 meter north, south, west, or east depending on its initial direction.

In the second sample case, the robot will always end up √{2} meters north-west, north-east, south-west, or south-east.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>

#define ll long long
#define pi pair<int, int>
#define pf pair<float, int>
#define ps pair<string, int>
#define pii pair<pi, int>
#define mi map<int, int>
#define ms map<string, int>
#define mc map<char, int>
#define mpi map<pi, int>
#define F first
#define S second
#define vt vector
#define vi vector<int>
#define vd vector<double>
#define vf vector<float>
#define vl vector<long long>
#define vpi vector<pi>
#define vpf vector<pf>
#define vpii vector<pii>
#define st set
#define si set<int>
#define sd set<double>
#define sf set<float>
#define sl set<long long>

#define FOR(t, q) for(int q = 0; q < t; q++)
#define RFOR(t, q) for(int q = t; q > 0; q--)
#define FORE(t, q) for(int q = 0; q <= t; q++)
#define RFORE(t, q) for(int q = t; q >= 0; q--)

#define FORN(t, q, v) for(int q = v; q < t; q++)
#define RFORN(t, q, v) for(int q = t; q > v; q--)
#define FOREN(t, q, v) for(int q = v; q <= t; q++)
#define RFOREN(t, q, v) for(int q = t; q >= v; q--)

#define FORV(v, type) for (vt<type>::iterator it = v.begin(); it <= v.end(); it++)
#define sz(v) (int)(v.size())


#define ALL(v) v.begin(), v.end()
#define RALL(v) v.rbegin(), v.rend()

#define B(v) v.begin()
#define RB(v) v.rbegin()
#define E(v) v.end()
#define RE(v) v.rend()

#define LOWER(s) transform(s.begin(), s.end(), s.begin(), ::tolower)
#define UPPER(s) transform(s.begin(), s.end(), s.begin(), ::toupper)

#define TC int t; cin >> t; FOR(t, q)

using namespace std;

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int n; cin >> n;
    if (n % 2 == 0) {
        cout << pow((n/2)+1, 2);
    } else {
        int k = ceil(n/2.0);
        cout << (2*k) * (k+1);
    }

    return 0;
}