Python Math: Calculate magic square
Python Math: Exercise-20 with Solution
Write a Python program to calculate the 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".
def magic_square_test(my_matrix): iSize = len(my_matrix) 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));
True True False
Visualize Python code execution:
The following tool visualize what the computer is doing step-by-step as it executes the said program:
Python Code Editor:
Have another way to solve this solution? Contribute your code (and comments) through Disqus.
Previous: Write a Python program to multiply two integers without using the * operator in python.
Next: Write a Python program to print all primes (Sieve of Eratosthenes) smaller than or equal to a specified number.
What is the difficulty level of this exercise?
Test your Programming skills with w3resource's quiz.
Python: Tips of the Day
Get Current Process Id:
import os os.getpid()
- Weekly Trends
- Python Interview Questions and Answers: Comprehensive Guide
- Scala Exercises, Practice, Solution
- Kotlin Exercises practice with solution
- MongoDB Exercises, Practice, Solution
- SQL Exercises, Practice, Solution - JOINS
- Java Basic Programming Exercises
- SQL Subqueries
- Adventureworks Database Exercises
- C# Sharp Basic Exercises
- SQL COUNT() with distinct
- Java Collection Exercises
- SQL COUNT() function
- SQL Inner Join
We are closing our Disqus commenting system for some maintenanace issues. You may write to us at reach[at]yahoo[dot]com or visit us at Facebook