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: Accepted)

#from fractions import gcd
#mod = 10 ** 9 + 7
#N = int(input())
#a = list(map(int,input().split()))
#a,b,c = map(int,input().split())
#ans = [0] * N
#math.ceilで切り上げ
#dp = [[0] * 4 for i in range(3)] #2次元配列初期化
#dp = [[[0] * 2 for i in range(3)] for j in range(5)]
#(ord('A'))でASCII出力 Aは65
import math
import statistics
import string

def intinput():
    return int(input())

def listintinput():
    return list(map(int,input().split()))

def splitintinput():
    return map(int,input().split())

n = intinput()
x = listintinput()

av = int(statistics.mean(x))
avone = av+1
ans = 0
ansone = 0
for i in x:
    ans += (i-av) ** 2
    ansone += (i-avone) ** 2

print(min(ans,ansone))