Wolfram Language Paclet Repository

Community-contributed installable additions to the Wolfram Language

Primary Navigation

    • Cloud & Deployment
    • Core Language & Structure
    • Data Manipulation & Analysis
    • Engineering Data & Computation
    • External Interfaces & Connections
    • Financial Data & Computation
    • Geographic Data & Computation
    • Geometry
    • Graphs & Networks
    • Higher Mathematical Computation
    • Images
    • Knowledge Representation & Natural Language
    • Machine Learning
    • Notebook Documents & Presentation
    • Scientific and Medical Data & Computation
    • Social, Cultural & Linguistic Data
    • Strings & Text
    • Symbolic & Numeric Computation
    • System Operation & Setup
    • Time-Related Computation
    • User Interface Construction
    • Visualization & Graphics
    • Random Paclet
    • Alphabetical List
  • Using Paclets
    • Get Started
    • Download Definition Notebook
  • Learn More about Wolfram Language

SudokuHints

Guides

  • Sudoku Hints

Tech Notes

  • Logical Rules for Solving a Sudoku
  • Representation of a Sudoku
  • String Representation of a Sudoku

Symbols

  • BackTracking
  • bla
  • CandidateSet
  • CellSize
  • Clues
  • ColoredCells
  • ColoredGroupColor
  • ColoredGroups
  • CommonCellColor
  • ConjugateLists
  • DiskCells
  • Disks
  • DoubleCandidate
  • DoubleCandidate
  • EditClues
  • EditColoredGroups
  • EditLineGroups
  • EditOutlinedGroups
  • EditSudoku
  • EnterClues
  • EnterSudoku
  • ExcludeCommonCells
  • ExportSudoku
  • ExtendSudoku
  • ExtraBlockCellColor
  • ExtraBlocks
  • GenerateSudokus
  • HiddenPair
  • HiddenPairs
  • HiddenQuadruple
  • HiddenQuadruples
  • HiddenSingle
  • HiddenSingles
  • HiddenTriple
  • HiddenTriples
  • Hints
  • IncludeCandidates
  • LineGroups
  • LockedCandidates
  • MaxClues
  • MaxSolutions
  • MaxSteps
  • MonitorSteps
  • NumericalString
  • OutlinedGroups
  • Pair
  • Pairs
  • QuadrupleCandidate
  • Quadruple
  • ReduceClues
  • ReduceSudoku
  • SetDisplay
  • SetDisplayOptions
  • SetSdokuOptions
  • SetSudokuOptions
  • ShowCandidates
  • ShowInfo
  • Single
  • Singles
  • SolveSudoku
  • SudokuFromString
  • SudokuHints
  • SudokuInfo
  • Sudoku
  • SudokuToString
  • SwordFish
  • ThreeGroups
  • TripleCandidate
  • Triple
  • Triples
  • XRule
  • XXXMaxSteps
  • XYChain
  • XYZWing
  • YWing
  • ZZZExtraBlocks
  • ZZZLockedCandidates
  • $AllRules
  • $Sudoku
FredSimons`SudokuHints`
ThreeGroups
​
ThreeGroups
[sudoku,pos]
shows the reductions at the given position due to a three groups configuration.
​
Details and Options

Examples  
(1)
Basic Examples  
(1)
In[1]:=
ThreeGroups
["TkG3XpF&pdfQU7ru5EPAz4o!ER8CWK%3LfP66!Jal86g",{4,2}]
Out[1]=
Contents cannot be rendered at this time; please try again later or download this notebook for full functionality »
ThreeGroups-5: R4C2(2,3,6)
When the candidate 5 is not in the yellow cell R4C6, it must be in the light yellow cell R8C6, so it cannot be in the light yellow cell R9C4, so it must be in the yellow cell R9C2. The green cell R4C2 sees both yellow cells, so the candidate 5 can be removed from this cell.
SeeAlso
Hints
 
▪
SudokuInfo
 
▪
$AllRules
TechNotes
▪
Logical Rules for Solving a Sudoku
RelatedGuides
▪
Sudoku Hints
""

© 2025 Wolfram. All rights reserved.

  • Legal & Privacy Policy
  • Contact Us
  • WolframAlpha.com
  • WolframCloud.com