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 <bits/stdc++.h>
#define rep(i, x, N) for (long long i = x; i < (N); i++)
using namespace std;

int main()
{
    int N;
    cin >> N;
    vector<int> X(N);
    long sum = 0;
    rep(i, 0, N)
    {
        cin >> X[i];
        sum += X[i];
    }
    double p;
    p = sum / (double)N;
    p += 0.5;
    int p2 = p;
    double ans = 0;
    rep(i, 0, N)
    {
        ans += abs(p2 - X[i]) * abs(p2 - X[i]);
    }

    cout << (int)ans << endl;
}