Consider the naive solver we looked at in the previous section. The problem is that we spend a lot of time exploring solution subspaces that cannot contain a solution! Say you have a sudoku with a \(1\) at position \((1,1)\). Then any solution that tries to place a \(1\) anywhere in column 1 or row 1 cannot possibly be a valid solution since it violates the rules of sudoku.

If you would prefer to skip to implementation, I have made it available on github. The core of the algorithm is in DancingLinks.java, while the Sudoku-specific implementations are in the rest of the files.


Sudoku Java Download


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Yes, both C++ and Java offer various libraries and frameworks that can assist in solving Sudoku puzzles. For example, in C++, you can utilize the "bitset" or "vector" data structures, while Java provides libraries such as "java.util.BitSet" or "javax.constraints".

How many possible sudoku solutions are there? Sometimes thoughts such as this end up squeezing the rest of my free time out of me. The easy answer would be to just look it up, but why not have some fun and try to calculate it? Of course a little math and logic beforehand would have suggested I turn tail and run from the problem, live and learn.

I've written a Sudoku game in the past, so I decided to expand upon that code to write an algorithm that counts how many possible solutions there are. The code below demonstrates a solution. Basically, for each square it arrives at, the algorithm iterates through each of the 1-9 entries. For each value that is a valid entry based upon all the previous values, the algorithm proceeds to the next sudoku grid square to perform the same calculation. The algorithm will continue like so until a solved puzzle is completed. The key here is, given the recursive algorithm (namely the fill method), it can then backtrack through the sudoku grid to the last position that still needs an increment, increments the value and continue where it left off. Long story short, this will track and backtrack through the puzzle finding and counting possible solutions. For efficiency I used pre-made look-up tables to enforce the basic Sudoku rules.

This post is about generating solution for sudoku problem and not for checking if solution is correct or not. If you are looking for program to check correctness of Sudoku, you will find it in my post Sudoku checker (By traversing each cell only once).

Representing Sudoku in this way means you can easily verify a solution as being valid/invalid with propositional logic. And you will also be well placed to solve sudoku, instead of simply verifying a solution as correct/incorrect.

I've written similar, but in C#. Without exact syntax for your java, I too basically have arrays... both 9x9 and 16x16 solutions. I created one function to return a string of all "Solved" values in a given row, another for "Solved" in a given column, and another for all in a given "Block" (3x3 or 4x4).

HoDoKu is a sudoku helper written in Java and available in English and German. Generate sudokus in five different and fully configurable difficulty levels. Solve them yourself (with help from HoDoKu's hint system) or let HoDoKu do it for you.

If you want to practice a specific technique, simple go to "Training Mode", select a technique, and every new generated sudoku will contain that technique. And if you want it, the sudoku will be solved automatically up to the point, where the technique is applicable.

HoDoKu contains a powerful sudoku analyzer: view all available solution steps for a given state and change your solution accordingly. Manage multiple solutions for one sudoku and write the sudoku plus your solutions to disk.

Version 2 has many more features for you: Choose sudokus from HoDoKu's sudoku history (complete with preview), compute for any step, how far it will advance the sudoku towards the solution, sort available steps according to type, cell, candidate or eliminations. And if you absolutely have to "guess", create a savepoint and revert to it, if your guess was wrong.

In the Valid Sodoku problem, we are given a 99 sudoku board, our goal is to check whether it is valid or not. The objective is to ensure that each row, column, and 33 sub-grid contains all the digits from 1 to 9 without repetition.

As for it being a meta tag, if you saw a question only tagged c++, you would know it's about C++. Why? C++ isn't a meta tag. With that logic, if you saw a question just tagged sudoku, does that tell you anything helpful? No. That's why it's a meta tag.

A so-called meta-tag describes what the question is, not what it deals with. The distinction beteween a meta-tag and a "normal" tag is whether the tag can finish the sentence "this question is about...". Clearly, "sudoku" successfully passes that test.

None of these should be deleted. They provide a wealth of information on the kinds of problems a question is attempting to tackle. A question tagged sudokuc++ is much more useful than a question simply tagged c++. ff782bc1db

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