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# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
using System.Linq;
class Program{
  static void Main(string[] args){
    var n = int.Parse(Console.ReadLine());
    var input = Console.ReadLine().Split(' ').Select(a => int.Parse(a)).ToArray();
    int minP = 100, maxP = 1;
    foreach(var i in input){
      if(i<minP) minP=i;
      if(i>maxP) maxP=i;
    }
    var vList = new int[maxP];
    var minpos8 = -1;
    var minV8 = 100*100;
    for(var i=minP; i<maxP; i++){
      if(i%8==0){
        var v = input.Sum(a => (a-i)*(a-i));
        vList[i] = v;
        if(v<minV8){
          minpos8=i;
          minV8 = v;
        }
      }
    }
    var minV=minV8;
    for(var i=Math.Max(minP,minpos8-7); i<Math.Max(maxP,minpos8+7); i++){
      var v = input.Sum(a => (a-i)*(a-i));
      if(v<minV){
        minV=v;
      }
    }
    Console.WriteLine(minV);
  }
}