Sudoku strategies explained with graphics

Strategies


Overview Singles Naked Pairs Naked Triples Hidden Pairs Hidden Triples Naked Quads Hidden Quads Pointing Pair Pointing Triple Box Reduction X-Wing Finned X-Wing Sashimi Finned X-Wing Franken X-Wing Finned Mutant X-Wing Skyscraper Chute Remote Pairs Simple Coloring Y-Wing W-Wing Swordfish Finned Swordfish Sashimi Finned Swordfish Franken Swordfish Mutant Swordfish Finned Mutant Swordfish Sashimi Finned Mutant Swordfish Sue De Coq XYZ-Wing X-Cycle Bi-Value Universal Grave XY-Chain 3D Medusa Jellyfish Jellyfish Jellyfish Avoidable Rectangle Unique Rectangle Hidden Unique Rectangle WXYZ-Wing Firework Subset Exclusion Empty Rectangle Sue De Coq Extended SK Loop Exocet Almost Locked Sets Alternating Inference Chain Digit Forcing Chains Nishio Forcing Chains Cell Forcing Chains Unit Forcing Chains Almost Locked Sets Forcing Chain Death Blossom Pattern Overlay Bowman Bingo



Chute Remote Pairs


If two Bi-Value Cells not seeing each other and holding the same Candidates share the same Band, and if only one of those Candidates is present (as a Candidate or a given or a solution, it does not matter) in the third Row/Column of the third Square of this Band, then the other Candidate can not be the solution in any Cell that sees the two Bi-Value Cells.


Skyscraper

In the example above if Candidate 3 were the solution in H8 or in J3, then Candidate 6 would be the solution in H1 and in J9, eliminating all candidates 6 in blocks 7 and 9 respectively, and Row G would have no solution for Candidate 6, which is not possible. Hence Candidate 3 can be removed in H8 and in J3.



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