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)

function Main (input) {
  var N, X;
  var ans1 = [];
  input = input.split("\n");
  N = parseInt(input[0], 10);
  X = input[1].split(" ").map(inp => parseInt(inp, 10));
  for (var i = Math.min(...X); i <= Math.max(...X); i++) {
    var ret = 0;
    for (var j of X) {
      ret += Math.pow(i - j, 2);
    }
    ans1.push(ret);
  }
  console.log(Math.min(...ans1));
}

Main(require("fs").readFileSync("/dev/stdin", "utf8"));