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>
using namespace std;
typedef long long ll;
#define endl 	"\n"

typedef vector< ll > 	vi;
typedef vector< vi > 	vvi;
typedef pair< ll,ll > 	ii;
#define pb 		push_back
#define all(c) 		(c).begin(),(c).end()
#define tr(c,i) 	for(typeof((c).begin() i = (c).begin(); i != (c).end(); i++)
#define present(c,x) 	((c).find(x) != (c).end())

#define MOD 	1000000007
#define INF 	(int)1e9
#define MEM(a, b) memset(a, (b), sizeof(a))

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

	ll n;
	cin>>n;
	ll a[n];
	for (ll i = 0; i < n; ++i)
	{
		cin>>a[i];
		/* code */
	}
	 ll  final1=999999999,ans=0;
	ll m = *max_element(a, a+n);
	for(ll p=1; p<=m; p++)
	{
	for(ll i=0; i<n; i++)
	{
		ans+= (a[i]-p)*(a[i]-p); 
	 }
	 final1= min(final1,ans);
	 ans=0;
	 //cout<<final1<<endl;
	}
	cout<<final1;

	return 0;
}