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::cmp::*;
use std::io::*;
use std::iter::*;

fn main() {
    let mut buffer = String::new();
    stdin().read_line(&mut buffer).unwrap();
    let n = buffer.trim().parse::<i64>().unwrap();
    buffer.clear();
    stdin().read_line(&mut buffer).unwrap();

    let inputs = buffer.split_whitespace().map(|x| x.parse::<i64>().unwrap());
    let v: Vec<i64> = FromIterator::from_iter(inputs);
    let avg = v.iter().sum::<i64>() / n;

    let c1 = v.iter().map(|x| (x - avg) * (x - avg)).sum::<i64>();
    let c2 = v.iter().map(|x| (x - avg - 1) * (x - avg - 1)).sum::<i64>();
    println!("{}", min(c1, c2));
}