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: Wrong Answer)

package main

import "fmt"

func main(){
	var N int
	fmt.Scan(&N)
	X := make([]int, N)
	for i := 0 ; i < N ; i++ {
		fmt.Scan(&X[i])
	}
	max := X[0]
	for i := 1 ; i < N ; i++ {
		if max < X[i] {
			max = X[i]
		}
	}
	min := 1000000
	rep := 0
	for i := 0 ; i < max ; i++ {
		rep = 0
		for j := 0 ;  j < N ; j++ {
			rep += (X[j]- i) * (X[j] - i)
		}
		if rep < min {
			min = rep
		}
		// fmt.Println(rep)
	}
	fmt.Println(min)
}