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 parseInput(input) {
  const values = []
  input.split('\n').forEach(row => {
    const list = row.split(' ')
    list.forEach(v => values.push(v))
  })

  return values
}

function getInput() {
  return parseInput(require('fs').readFileSync('/dev/stdin', 'utf8'))
}

function spend(Xi, P) {
  return Math.pow(Xi - P, 2)
}

;(function main() {
  const input = getInput()
  const N = +input[0]

  var min = Number.MAX_SAFE_INTEGER
  for (var p = 1; p <= 100; p++) {
    var s = 0
    for (var i = 1; i <= N; i++) {
      s += spend(+input[i], p)
    }

    if (min > s) {
      min = s
    }
  }

  console.log(min)
})()