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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"fmt"
	"io"
	"math"
	"os"
	"sort"
)

func run(input io.Reader, output io.Writer) int {
	var n int
	fmt.Fscanf(input, "%d\n", &n)
	xi := make([]int, n)
	for i := 0; i < n; i++ {
		fmt.Fscanf(input, "%d", &xi[i])
	}

	sort.Ints(xi)
	min := math.MaxInt32
	for p := xi[0]; p <= xi[len(xi)-1]; p++ {
		sum := 0
		for _, x := range xi {
			sum += (x - p) * (x - p)
		}
		if sum < min {
			min = sum
		}
	}
	fmt.Println(min)

	return 0
}

func main() {
	os.Exit(run(os.Stdin, os.Stdout))
}