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# -*- coding: utf-8 -*-

"""

Created on Tue Aug 18 11:24:15 2020

@author: Gulshan

"""

'''

What is Magic Square?

=> a square divided into smaller squares each containing a number,

such that the figures in each vertical, horizontal, and diagonal row add up to the same value.

Example:

2 7 6

9 5 1

4 3 8

The sum of each row/column/diagonal is: 15.0

'''

# Function to create Magic Square

def magic_square(n):

magicSquare = []

for i in range(n):

listt = []

for j in range(n):

listt.append(0)

magicSquare.append(listt)

i = n//2

j = n-1

num = n*n

count = 1

while(count<=num):

if(i==-1 and j==n): #condition 4

j = n-2

i = 0

else:

if(j==n): # column value is exceeding

j = 0

if(i<0): # row is becoming -1

i=n-1

if(magicSquare[i][j]!=0):

j = j-2

i = i+1

continue

else:

magicSquare[i][j] = count

count+=1

i = i-1

j = j+1 #condition 1

for i in range(n):

for j in range(n):

print(magicSquare[i][j], end=" ")

print()

print("The sum of each row/column/diagonal is: "+str(n*(n**2+1)/2))

# Main Function for Magic Square

if __name__ == '__main__':

n = int(input("Enter Number To Generate Magic Square"))

magic_square(n)