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(void){
   
   int a[100], n, i, p;
   long r, res,result = 0, min = 300000000;
   
   scanf("%d\n", &n);

   for(i = 0; i <= n-1 ; i++){
       scanf("%d", &a[i]);
   }
   
   for(p = 0; p<101 ;p++){
       i = 0;
       result = 0;
       for(; i<=n-1; i++){
          r = a[i] - p;
          res = r * r;
          result += res;
       }
       if(min > result){
           min = result;
       }
   }

   printf("%ld\n", min);

   
   return 0;
}