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"
)
 
func main() {
	var N,X,i,sum,z int
  	s:= []int{}
    fmt.Scan(&N)
  	i=0
  	for i<N {
      	fmt.Scan(&X)
      	s=append(s,X)
      	i++
  	}
   	i=0
  	for i<=100 {     	
      	z = All_Sum(s,i)
      	if i==0 || sum > z {
          	sum = z          	
        }
      	i++
  	}
  	fmt.Print(sum)
}
func All_Sum(s []int, P int) int {
  	var j,sum int
  	for j<len(s) {
      	sum += (s[j] - P) * (s[j] - P)
      	j++
  	}
  	return sum
}