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: Wrong Answer)

import numpy as np
def IsDistributionBiased_Smaller (sortedarr,P):
    _ndarr=np.array(sortedarr)
    smallarr=np.where(_ndarr<=P)
    if len(smallarr) > len (sortedarr)//2:
        return True
    else:
        return False

def WorkloadCalculation(arr,P):
    D=0
    for a in range(len(arr)):
        d=abs(arr[a]-P)
        D += d**2
    return D

N=int(input())
Xlist=[]
X=input().split()
for x in X:
    _x=int(x)
    Xlist.append(_x)

Xlist.sort()
P=(Xlist[0]+Xlist[-1])//2

workload=10000000
STOPflg=False
    
if IsDistributionBiased_Smaller(Xlist,P) ==True:
    while STOPflg==False:
        _wl=WorkloadCalculation(Xlist,P)
        if _wl < workload:
            workload=_wl
            P+=1
        else:
            print(workload)
            STOPflg=True
            exit()
else:
    while STOPflg==False:
        _wl=WorkloadCalculation(Xlist,P)
        if _wl < workload:
            workload=_wl
            P-=1
        else:
            print(workload)
            STOPflg=True
            exit()
print(workload)