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 9.2.1) (judge verdict: Wrong Answer)

#include<stdio.h>

int main(){

        int n,x[100],sum1,sum2;

        sum1 = 0;
        sum2 = 0;
    
        scanf("%d",&n);


        for(int i = 0 ; i < n ; i++){
                scanf("%d",&x[i]);
                sum1 += x[i];
                sum2 += x[i]*x[i];    
        }   
    

        if( sum1%n == 0 ) 
                printf("%d\n",sum2-sum1*sum1/n);
        else {
                double p,diff;
                int P,ansP;

                p = (double)sum1/(double)n ; 
                P = sum1/n ;
                diff = p - (double)P;

                if(diff > 1/2)
                        ansP = P+1;
                else
                        ansP = P;

                printf("%d\n",n*ansP*ansP-2*sum1*ansP+sum2);
                printf("%f %d %f %d\n",p,P,diff,ansP);

        }   


        return 0;
}