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";
main(
  require("fs")
    .readFileSync("/dev/stdin", "UTF-8")
    .trim()
    .split("\n")
);

function main(input) {
  const num = parseInt(input.shift());
  input = input[0].split(" ").map(Number);

  const minPosition = Math.min(...input);
  const maxPosition = Math.max(...input);

  let sumCon = [];

  for (let i = minPosition; i <= maxPosition; i++) {
    let result = 0;
    for (let f = 0; f < num; f++) {
      result += Math.pow(input[f] - i, 2);
    }
    sumCon.push(result);
  }

  console.log(Math.min(...sumCon));
}