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: Wrong Answer)

'use strict'

function Main(input) {
  input = input.trim().split('\n')
  const N = parseInt(input[0])
  let X = input[1].split(' ').map(s => parseInt(s))

  X = X.sort()

  const MAX = 100

  const memo = {}
  for(let i = 0; i <= MAX; ++i) {
    memo[i] = false
    for(let j = 0; j < N; ++j) {
      if (i === X[j]) memo[i] = true
    }

  }

  let result = Infinity

  for(let i = 1; i <= MAX; ++i) {
    if(!memo[i]) {
      let total = 0
      for(let j = 0; j < N; ++j) {
        const n = X[j] - i
        total += n * n
      }

      result = Math.min(result, total)

    }
  }


  console.log(result)


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