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 JavaScript (node.js v5.12) (judge verdict: Accepted)

"use strict";
function main(input) {
  let n = parseInt(input[0]);
  let x = input[1].trim().split(" ");
  
  for(let i=0;i<x.length;i++){
    x[i] = parseInt(x[i]);
  }
  
  x.sort(function(a, b) {
    return b - a;
  });

  let sum = [];

  for(let i=0;i<x[0]+1;i++){
    sum[i] = 0;
    for(let j=0;j<x.length;j++){
      sum[i] += Math.pow((i - x[j]),2);
    } 
  }

  console.log(Math.min(...sum));
}
main(require('fs').readFileSync('/dev/stdin', 'utf8').trim().split("\n"));