Problem:
Score : 300 points

Problem Statement

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.

Sample Input 1

2
1 4

Sample Output 1

5

Assume the meeting is held at coordinate 2. In this case, the first person will spend (1 - 2)^2 points of stamina, and the second person will spend (4 - 2)^2 = 4 points of stamina, for a total of 5 points of stamina. This is the minimum total stamina that the 2 people have to spend.

Note that you can hold the meeting only at an integer coordinate.

Sample Input 2

7
14 14 2 13 56 2 37

Sample Output 2

2354

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
#include <climits>
#include <set>
#include <string>
#include <algorithm>
#include <vector>
#define MAX 1000000007


using namespace std;
#define ll long long
#define dbg if(0)
#define ISRANGE(val,lo,hi) ((lo<=val)&&(val<hi))



int main(){
    ll ans=MAX,n;
    cin>>n;
    ll x[n];
    ll ok=0;
    ll ng=101;
    for(int i=0;i<n;i++){
        cin>>x[i];
    }
    for( int p=1;p<=100;p++){
        ll tmp=0;
        for(int i=0;i<n;i++){
            ll v=x[i]-p;
            tmp+=v*v;
        }
        ans=min(ans,tmp);
    }


    cout <<ans<<endl;

    return 0;

}