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<h1 id="title">Sudoku Solver</h1>
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<h2 class="h2_form" id="f0">Solve a sudoku grid</h2>
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<label class="">9x9 Sudoku Grid (digits or letters)</label><br />
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<table><tbody><tr><td valign="top"><label id="sudoku_solver_mode">Resolution</label></td><td role="radiogroup" aria-labelledby="sudoku_solver_mode"><label class="nostar" for="sudoku_solver_mode_all"><input type="radio" id="sudoku_solver_mode_all" name="mode" value="all" checked> Compute all solutions</label><br/><label class="nostar" for="sudoku_solver_mode_steps"><input type="radio" id="sudoku_solver_mode_steps" name="mode" value="steps" > Step by Step Solution</label><br/></td></tr></tbody></table>
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<div class="cf "><span>See also:</span> <a href="/irregular-sudoku-solver">Irregular NxN Sudoku Solver</a> — <a href="/hexadoku-sudoku-16-solver">Hexadoku (Sudoku 16x16) Solver</a> — <a href="/sudoku-5x5-solver">Sudoku 5x5 Solver</a> — <a href="/kakuro-solver">Kakuro Solver</a></div>
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<div class="qa" data-edit="<strong>You can edit this FAQ section, review it or improve it!</strong>" itemscope itemtype="http://schema.org/Question"><h3 id="q1" itemprop="name">What is a Sudoku? (Definition)</h3>
<div itemprop="acceptedAnswer" itemscope itemtype="http://schema.org/Answer"><div itemprop="text"><p>Sudoku is a puzzle game whose goal is to fill a grid with the numbers from 1 to 9 (there are variants with letters or symbols) so that they appear only once per row, column or block.</p></div></div></div>
<div class="qa" data-edit="<strong>You can edit this FAQ section, review it or improve it!</strong>" itemscope itemtype="http://schema.org/Question"><h3 id="q2" itemprop="name">How to fill the Sudoku grid?</h3>
<div itemprop="acceptedAnswer" itemscope itemtype="http://schema.org/Answer"><div itemprop="text"><p>Make a copy/paste or type directly in cells. Letters (Wordoku/alphadoku) and digits are accepted.</p>
<div class="example"><p><u>Example:</u>  Copy the Sudoku content in the first cell (top left) <code>97 1    5  5 9 2 18   4        8       7         26  92  3    6   2  9    19 4572</code> to get:</p></div>
<p><table class="gridhtml"><tr><td>9</td><td>7</td><td>&blank;</td><td>1</td><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>5</td></tr><tr><td>&blank;</td><td>&blank;</td><td>5</td><td>&blank;</td><td>9</td><td>&blank;</td><td>2</td><td>&blank;</td><td>1</td></tr><tr><td>8</td><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>4</td><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>&blank;</td></tr><tr><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>8</td><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>&blank;</td></tr><tr><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>7</td><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>&blank;</td></tr><tr><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>2</td><td>6</td><td>&blank;</td><td>&blank;</td><td>9</td></tr><tr><td>2</td><td>&blank;</td><td>&blank;</td><td>3</td><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>6</td></tr><tr><td>&blank;</td><td>&blank;</td><td>&blank;</td><td>2</td><td>&blank;</td><td>&blank;</td><td>9</td><td>&blank;</td><td>&blank;</td></tr><tr><td>&blank;</td><td>&blank;</td><td>1</td><td>9</td><td>&blank;</td><td>4</td><td>5</td><td>7</td><td>2</td></tr></table></p></div></div></div>
<div class="qa" data-edit="<strong>You can edit this FAQ section, review it or improve it!</strong>" itemscope itemtype="http://schema.org/Question"><h3 id="q3" itemprop="name">How does the step by step works?</h3>
<div itemprop="acceptedAnswer" itemscope itemtype="http://schema.org/Answer"><div itemprop="text"><p>The program solves the <dfn>9x9 sudoku</dfn> much like a human would, calculating the possible values in each box and making deductions.</p>
<p>&mdash; <i>Only possible value</i> indicates that, in this box, any other value (1-9) results in an error/inconsistency (in a row, column or region).</p>
<p>&mdash; <i>Only box possible</i> indicates that all other boxes (within a block/region) cannot contain the value.</p>
<p>For each validated box/number, the solver displays an additional step in its progress in order to understand.</p>
<div class="warning"><p>Sometimes the reasoning arrives at a stage where <i>no  quick logical deduction</i> allows to deduce the value of a box (several possible values). The solver then analyzes the boxes where there are the fewest possibilities and selects a value that it considers the most probable and continues, if an inconsistency occurs (that the sudoku has no more solution) then it returns to step selection and takes another value. To optimize the chances, the selection is not random, the choice is made on a number which, if it is positioned in the box, will allow the maximum deduction for the next sudoku steps. This method is the fastest for the solver, it may be that sometimes a <i>slower and complex deduction</i> could achieve the same result.</p></div></div></div></div>
<div class="qa" data-edit="<strong>You can edit this FAQ section, review it or improve it!</strong>" itemscope itemtype="http://schema.org/Question"><h3 id="q4" itemprop="name">What is a block of Sudoku?</h3>
<div itemprop="acceptedAnswer" itemscope itemtype="http://schema.org/Answer"><div itemprop="text"><p>In a sudoku, the 9x9 grid presents 9 squares of 3x3 which are called <i>blocks</i> (or regions, or groups, or sectors or sub-grids).</p></div></div></div>
<div class="qa" data-edit="<strong>You can edit this FAQ section, review it or improve it!</strong>" itemscope itemtype="http://schema.org/Question"><h3 id="q5" itemprop="name">How to test if a sudoku has a unique solution?</h3>
<div itemprop="acceptedAnswer" itemscope itemtype="http://schema.org/Answer"><div itemprop="text"><p>dCode calculates all the solutions for the sudoku, not only the first one. To check a homemade sudoku, the solver can confirm that there is only one solution.</p></div></div></div>
<div class="qa" data-edit="<strong>You can edit this FAQ section, review it or improve it!</strong>" itemscope itemtype="http://schema.org/Question"><h3 id="q6" itemprop="name">When was Sudoku invented?</h3>
<div itemprop="acceptedAnswer" itemscope itemtype="http://schema.org/Answer"><div itemprop="text"><p>The first Sudoku versions are from 1979</p></div></div></div>
<div class="qa" data-edit="<strong>You can edit this FAQ section, review it or improve it!</strong>" itemscope itemtype="http://schema.org/Question"><h3 id="q7" itemprop="name">How many distinct sudokus exist?</h3>
<div itemprop="acceptedAnswer" itemscope itemtype="http://schema.org/Answer"><div itemprop="text"><p>A single row can consist of $ 9! $ (<a href="https://www.dcode.fr/factorial">Factorial</a> of 9) different ways, same for the columns, but the whole sudoku has a number of possibilities much less than $ 9!^9 $, because some permutations can lead to identical grids. The total number of grids would be $ 9! \times 72^2 \times 2^7 \times 27704267971 = 6670903752021072936960 $ <a href="https://www.dcode.fr/combinations">combinations</a>.</p></div></div></div>
<div class="qa" data-edit="<strong>You can edit this FAQ section, review it or improve it!</strong>" itemscope itemtype="http://schema.org/Question"><h3 id="q8" itemprop="name">Does a rectangular sudoku or non square sudoku exist?</h3>
<div itemprop="acceptedAnswer" itemscope itemtype="http://schema.org/Answer"><div itemprop="text"><p>By keeping the sudoku NxN rules that require the N characters to be used on each row and column, then it is impossible to respect them if the sudoku is not square.</p>
<p>Some variants of the square sudoku, however, use non-square inner blocks (see sudoku 6x6, sudoku 7x7 or sudoku 8x8)</p></div></div></div>
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<div id="summary"><ul><li><a href="#f0" class="form">Solve a sudoku grid</a></li><li><a href="#q1">What is a Sudoku? (Definition)</a></li><li><a href="#q2">How to fill the Sudoku grid?</a></li><li><a href="#q3">How does the step by step works?</a></li><li><a href="#q4">What is a block of Sudoku?</a></li><li><a href="#q5">How to test if a sudoku has a unique solution?</a></li><li><a href="#q6">When was Sudoku invented?</a></li><li><a href="#q7">How many distinct sudokus exist?</a></li><li><a href="#q8">Does a rectangular sudoku or non square sudoku exist?</a></li></ul></div>
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<div id="similar_tools"><ul><li><a href="sudoku-5x5-solver">Sudoku 5x5 Solver</a></li><li><a href="hexadoku-sudoku-16-solver">Hexadoku (Sudoku 16x16) Solver</a></li><li><a href="irregular-sudoku-solver">Irregular NxN Sudoku Solver</a></li><li><a href="kakuro-solver">Kakuro Solver</a></li><li><a href="sudoku-10-solver">10x10 Sudoku Solver</a></li><li><a href="sudozen-sudoku-12-solver">Sudozen (Sudoku 12x12) Solver</a></li><li><a href="sudoku-4-solver">Sudoku 4x4 Solver</a></li><li><a href="tools-list">DCODE'S TOOLS LIST</a></li></ul></div>
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