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 C (GCC 5.4.1) (judge verdict: Accepted)

#include<stdio.h>

int main(){
  int N,sum=0,sum_sq=0,p=0;
  int ans_a=0,ans_b=0;
  scanf("%d",&N);
  int x[N];
  for (int i = 0; i < N; i++)
  {
    scanf("%d",&x[i]);
    sum += x[i];
    sum_sq += x[i]*x[i];
  }
  p = sum / N;
  ans_a = N*p*p-2*sum*p+sum_sq;
  p++;  
  ans_b = N*p*p-2*sum*p+sum_sq;
  printf("%d\n",(ans_a > ans_b ? ans_b:ans_a));

  return 0;
}