Python Math: Calculate magic square
Python Math: Exercise-20 with Solution
Write a Python program to calculate magic square.
A magic square is an arrangement of distinct numbers (i.e., each number is used once), usually integers, in a square grid, where the numbers in each row, and in each column, and the numbers in the main and secondary diagonals, all add up to the same number, called the "magic constant." A magic square has the same number of rows as it has columns, and in conventional math notation, "n" stands for the number of rows (and columns) it has. Thus, a magic square always contains n2 numbers, and its size (the number of rows [and columns] it has) is described as being "of order n".
Pictorial presentation:
Sample Solution:-
Python Code:
def magic_square_test(my_matrix):
iSize = len(my_matrix[0])
sum_list = []
#Horizontal Part:
sum_list.extend([sum (lines) for lines in my_matrix])
#Vertical Part:
for col in range(iSize):
sum_list.append(sum(row[col] for row in my_matrix))
#Diagonals Part
result1 = 0
for i in range(0,iSize):
result1 +=my_matrix[i][i]
sum_list.append(result1)
result2 = 0
for i in range(iSize-1,-1,-1):
result2 +=my_matrix[i][i]
sum_list.append(result2)
if len(set(sum_list))>1:
return False
return True
m=[[7, 12, 1, 14], [2, 13, 8, 11], [16, 3, 10, 5], [9, 6, 15, 4]]
print(magic_square_test(m));
m=[[2, 7, 6], [9, 5, 1], [4, 3, 8]]
print(magic_square_test(m));
m=[[2, 7, 6], [9, 5, 1], [4, 3, 7]]
print(magic_square_test(m));
Sample Output:
True True False
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Python: Tips of the Day
Find current directory and file's directory:
To get the full path to the directory a Python file is contained in, write this in that file:
import os dir_path = os.path.dirname(os.path.realpath(__file__))
(Note that the incantation above won't work if you've already used os.chdir() to change your current working directory, since the value of the __file__ constant is relative to the current working directory and is not changed by an os.chdir() call.)
To get the current working directory use
import os cwd = os.getcwd()
Documentation references for the modules, constants and functions used above:
- The os and os.path modules.
- The __file__ constant
- os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")
- os.path.dirname(path) (returns "the directory name of pathname path")
- os.getcwd() (returns "a string representing the current working directory")
- os.chdir(path) ("change the current working directory to path")
Ref: https://bit.ly/3fy0R6m
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