This is a possible input: In my case, I generate a list and I add to it the sum of all the vertical and horizontal lines. In your current code, you have everything mixed together in one massive function which makes it difficult to tell what is responsible for what job. Backtracking algorithms can be used for other types of problems such as solving a Magic Square Puzzle or a Sudoku grid. The purpose of this Python challenge is to demonstrate the use of a backtracking algorithm to solve a Magic Square puzzle.

A magic square contains the integers from 1 to n 2. Here's an example: 8 1 6 3 5 7 4 9 2 The major diagonals in this example are 8 + 5 + 2 and 6 + 5 + 4. Short story called "Daddy needs shorts", baby unconsciously saves his father from electrocution. Then I add the two diagonals. A 3x3 magic square is a 3x3 grid of the numbers 1-9 such that each row, column, and major diagonal adds up to 15. Kaldor's magic square is a square used in economics, which has nothing to do with digits or numbers of mathematics but rather with concepts from economic policy. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. I tried to do the first bonus and I think my solution works for all NxN squares! Examples: Hint: it's okay for this function to call your function from the main challenge. I think it's fine, but it might make some people gag. Here though, the major problem that I see with your code is you're trying to do far too much "manually". This is a 3x3 magic square used in Feng Shui which is represented as well. It's simply not very easy code to read. import numpy as np N = 5 magic_square = np . Like, is is a square, does it have all the numbers in sequence, do the rows add up to the magic number, do the columns, do the diagonals.

By using our site, you acknowledge that you have read and understand our Cookie Policy, Privacy Policy, and our Terms of Service. I see each of these as distinct problems that should be handled separately. Use whatever format you want for the grid, such as a 2-dimensional array, or a 1-dimensional array of length 9, or a function that takes 9 arguments. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. The following program creates and displays a magic square. MAGIC SQUARE OPERATION IN PYTHON. Stuff like that will eventually bite you via long, painful debugging sessions. My Indian flapshell turtle fell from 3rd floor. 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." (Magic squares have appeared here on … rev 2020.11.4.37941, The best answers are voted up and rise to the top, Code Review Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us, Podcast 283: Cleaning up the cloud to help fight climate change, Creating new Help Center documents for Review queues: Project overview, Searching a 2D matrix for a consecutive sequence, python magic square finder for arbitrary numbers, Python function to find all integers between two numbers whose sum of squared divisors is a perfect square, Determine whether any permutation of a given array exists such that the sum of all subarrays of length K are equal, Determining if a given square is a magic square, Suggestions for braking with severe osteoarthritis in both hands. The constant sum in every row, column and diagonal are called the magic constant or magic sum, M.The magic constant of a normal magic square …

A magic square is a \$NxN\$ square grid (where N is the number of cells on each side) filled with distinct positive integers in the range \${1,2,...,n^{2}}\$ such that each cell contains a different integer and the sum of the integers in each row, column and diagonal is equal.

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