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 Python (3.4.3) (judge verdict: Runtime Error)

#!/usr/bin/env python
# -*- coding: utf-8 -*-
from sys import stdin

n = int(input())
x_list_str = stdin.readline().rstrip().split()
x_list = [int(i) for i in x_list_str]

# 体力のリスト
sum_hp_list = []

min_x = min(x_list)
max_x = max(x_list)

for i in range(min_x, max_x):
    sum_hp = 0
    for x in x_list:
        sum_hp += (x-i)**2
    sum_hp_list.append(sum_hp)

print(min(sum_hp_list))