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: Accepted)

#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#include<math.h>
#define rep(i,n) for(int i=0;i<n;i++)
int gcd(int a, int b){
    int r=1;
    while(r!=0){
        r=a%b;
        a=b;
        b=r;
    }
    return a;
}
void revStr(char* str){
    int size = strlen(str);
    int i,j;
    char tmp = {0};
    for(i = 0, j = size - 1; i < size / 2; i++, j--){
        tmp = str[i];
        str[i] = str[j];
        str[j] = tmp;
    }return;
}
struct data{
    int a,b,c;
};

//降順
int compare_int(const void *a, const void *b)
{
    return *(int*)b - *(int*)a;
}
#define MAXSIZE 200000
int list[MAXSIZE];
int tail;

void Init(void){
    tail=0;
}
int Top(void){
    return 0;
}

int Next(int pos){
    if(pos<tail-1){
        return pos+1;
    }else{
        return -1;
    }
}
int Count(void){
    return tail;
}

int Item(int pos){
    if((pos>=0)&&(pos<tail)){
        return list[pos];
    }else{
        return 0;
    }
}
void Add(int value){
    if(tail<MAXSIZE){
        list[tail]=value;
        tail++;
    }
}
void Delete(int pos){
    if((pos>=0)&&(pos<tail)){
        int i;
        for(i=pos;i<tail-1;i++){
            list[i]=list[i+1];
        }
        tail--;
    }
}

int main(){
    int N;
    scanf("%d",&N);
    int pos[N];
    rep(i,N){
        scanf("%d",&pos[i]);
    }
    int min=100000000;
    rep(i,100){
        int sum=0;
        rep(j,N){
            sum+=(i-pos[j])*(i-pos[j]);
        }
        if(min>sum)
            min=sum;
    }
    printf("%d",min);
}