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)

use std::io;
use std::vec::Vec;
fn main() {
    let mut l1 = String::new();
    let mut l2 = String::new();
    let stdin = io::stdin();
    stdin.read_line(&mut l1).unwrap();
    stdin.read_line(&mut l2).unwrap();
    let trimed = l1.trim_right();
    let n = trimed.parse::<usize>().unwrap();
    let mut v: std::vec::Vec<i32> = Vec::with_capacity(n);

    let mut iter = l2.split_whitespace();
    for i in &mut iter {
        let num: i32 = i.parse().unwrap();
        v.push(num);
    }
    v.sort();
    let mut ans = 0;
    for a in 0..101 {
        let mut result = 0;
        for i in &v {
            result = result + ((a - i) * (a - i));
        }

        if a == 0 {
            ans = result
        } else {
            if ans > result {
                ans = result;
            }
        }
    }
    println!("{}", ans);
}