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 Rust (1.15.1) (judge verdict: Accepted)

fn main() {
    let n: usize = read();
    let mut xs: Vec<i64> = vec![0;n];
    let mut min = 0;
    let mut max = 0;
    for i in 0..n {
        let x = read();
        if i == 0 {
            min = x;
        }
        if min > x {
            min = x;
        }
        if max < x {
            max = x;
        }
        xs[i] = x;
    }

    let mut ans = 10001 * xs.len() as i64;
    for d in min..max+1 {
        let mut sum = 0;
        for x in xs.iter() {
            sum += (x - d) * (x - d);
        }
        if ans > sum {
            ans = sum;
        }
    }
    println!("{}", ans);
}

use std::io::stdin;
use std::io::Read;
use std::str::FromStr;

pub fn read<T: FromStr>() -> T {
    let cin = stdin();
    let cin = cin.lock();
    let token: String = cin
        .bytes()
        .map(|c| c.expect("failed to read char") as char)
        .skip_while(|c| c.is_whitespace())
        .take_while(|c| !c.is_whitespace())
        .collect();
    token.parse().ok().expect("failed to parse token")
}