#include <bits/stdc++.h>
using namespace std;

int main(){
  double N,i,sum=0,h=0;
  cin >> N;
  vector<double> X(N);
  for(i=0;i<N;i++)
  cin >> X.at(i);

  for(i=0;i<N;i++)
  sum += X.at(i);

  sum = round(sum/N);

  for(i=0;i<N;i++){
    h += pow(X.at(i)-sum,2);
  }
  cout << h;
}

### Prompt

Your challenge is to write a CPP solution to the following problem:

There are N people living on a number line.

The i-th person lives at coordinate X_i.

You are going to hold a meeting that all N people have to attend.

The meeting can be held at any integer coordinate. If you choose to hold the meeting at coordinate P, the i-th person will spend (X_i - P)^2 points of stamina to attend the meeting.

Find the minimum total points of stamina the N people have to spend.

Constraints

* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq X_i \leq 100

Input

Input is given from Standard Input in the following format:


N
X_1 X_2 ... X_N


Output

Print the minimum total stamina the N people have to spend.

Examples

Input

2
1 4


Output

5


Input

7
14 14 2 13 56 2 37


Output

2354

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;

int main(){
  double N,i,sum=0,h=0;
  cin >> N;
  vector<double> X(N);
  for(i=0;i<N;i++)
  cin >> X.at(i);

  for(i=0;i<N;i++)
  sum += X.at(i);

  sum = round(sum/N);

  for(i=0;i<N;i++){
    h += pow(X.at(i)-sum,2);
  }
  cout << h;
}

```