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"
	"math"
)

func main() {
	N := read()
	X := readArray(N)
	Min, Max, Result := min(X...), max(X...), 200000000

	for p := Min; p <= Max; p++ {
		lResult := 0
		for _, r := range X {
			lResult += (r - p) * (r - p)
		}
		if lResult < Result {
			Result = lResult
		}
	}

	fmt.Println(Result)

}

func read() int {
	var v int
	fmt.Scan(&v)
	return v
}

func readArray(length int) []int {
	result := make([]int, length)
	for i := 0; i < length; i++ {
		result[i] = read()
	}

	return result
}

func min(a ...int) int {
	result := float64(a[0])

	for _, i := range a {
		result = math.Min(float64(i), result)
	}

	return int(result)
}

func max(a ...int) int {
	result := float64(a[0])

	for _, i := range a {
		result = math.Max(float64(i), result)
	}

	return int(result)
}