Write a pseudocode in python using the simplest and best algorithm ever to solve for sudoku puzzle problems taking into consideration time and space.. N.B Illustrate and explain the procedure used in the algorithm and also comment on all lines of the code.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Write a pseudocode in python using the simplest and best algorithm ever to solve for sudoku puzzle problems taking into consideration time and space..

N.B Illustrate and explain the procedure used in the algorithm and also comment on all lines of the code.

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The simplest and best algorithm for solving Sudoku puzzles is the backtracking algorithm. It is a brute force algorithm that systematically tries all possible solutions by filling in the cells one by one until the puzzle is solved or an error is encountered. The algorithm then backtracks and tries a different value for the previous cell.

Algoithm

  1. Find an empty cell in the puzzle
  2. Try all possible values for the empty cell
  3. Check if the value is valid for the cell based on the row, column, and 3x3 square constraints
  4. If the value is valid, set the value for the cell and recursively solve the puzzle
  5. If the puzzle is solved, return True
  6. If the puzzle is not solved, backtrack and try a different value for the previous cell
  7. If no value works for the current cell, backtrack further
  8. If all cells are filled and the puzzle is solved, return True
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