10/12/2023 The world hardest sudoku puzzle that can copy from the web into a microsoft documentRead NowThe gist of the algorithm is to start iterating the grid and making decisions what to do - populate a cell, or try another digit for the same cell, or blank out a cell and move back to the previous cell, etc. But here I will focus on the algorithm and code itself. You might also want to check out my answer in this thread about optimizing the algorithm. It is a backtracking algorithm too, but I wanted to share my implementation as well.īacktracking can be fast enough given that it is moving within the constraints and is choosing cells wisely. But the most interesting and natural of the sudoku solving strategies I came across is this one from here The above one is very basic backtracking algorithm which is explained at many places. SecTopX, secTopY = 3 *(i//3), 3 *(j//3) #floored quotient should be used here. # finding the top left x,y co-ordinates of the section containing the i,j cell RowOk = all( for x in range(9)])ĬolumnOk = all( for x in range(9)]) A cell with value 0 indicates that it is not filled. It takes 9X9 grid partially filled with numbers. For each legal value, Go recursively and try to solve the grid.It's the bare minimum code which solves the problem. It uses simple backtracking algorithm to solve the puzzle.įor simplicity no input validations or fancy output is done.
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