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 Kotlin (1.3.71) (judge verdict: Accepted)

import java.io.PrintWriter
import java.util.StringTokenizer
import kotlin.math.pow

fun main() {

    fun PrintWriter.solve() {
        val n = nextInt()
        var x = IntArray(n){nextInt()}

        var poss = x.sum()/n

        var v1 = x.map { (it - poss).toDouble().pow(2) }.sum()
        var v2 = x.map { (it - poss -1 ).toDouble().pow(2) }.sum()


        println(minOf(v1,v2).toInt())



    }

    writer.solve()
    writer.flush()


}


private val reader = System.`in`.bufferedReader()
private val writer = PrintWriter(System.out, false)

private var tokenizer: StringTokenizer = StringTokenizer("")

private fun next(): String {
    while (tokenizer.hasMoreTokens().not()) tokenizer = StringTokenizer(reader.readLine())
    return tokenizer.nextToken()
}

private fun nextInt() = next().toInt()
private fun nextLong() = next().toLong()
private fun nextDouble() = next().toDouble()
private fun nextLine() = reader.readLine()