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(inp) {
  inp = inp.trim().split('\n')
  const N = Number(inp.shift())
  const X = inp[0].split(' ').map(n => Number(n));
  
  let sum = 0
  for (let i = 0; i < N; i++) {
    sum += X[i]
  }
  let ave = Math.round(sum / N)

  let cost = 0
  for (let i = 0; i < N; i++) {
    cost += Math.pow(X[i] - ave, 2)
  }
  console.log(cost)
}


main(require('fs').readFileSync('/dev/stdin', 'utf8'));