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) {
  input = input.split("\n");
  let n = Number(input[0]);
  let place_array = input[1].split(" ").map(Number);
  let min = 0;
  for (let cp = 0; cp < 100; cp++) {
    let tmp_total = 0;
    for (let i = 0; i < n; i++) {
      tmp_total += Math.pow((cp - place_array[i]), 2);
      //console.log(`${point} - ${place_array[index]}の2乗 = ${(point - place_array[index]) ** 2}`);
    }
    if (cp === 0) min = tmp_total;
    min = min < tmp_total ? min : tmp_total;
  }
  console.log(min);
}
Main(require("fs").readFileSync("/dev/stdin", "utf8"));