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



Naked Quads


If four Cells in a region (Row, Column or Square) contain exactly the same four candidates or only subsets of these four candidates, then one of these candidates is the solution for the first of these Cells, a second one is the solution for the second of these Cells, a third one is the solution for the third of these Cells and the last candidate is the solution for the fourth Cell.

Hence none of these four candidates can be the solution in any other Cell of that region; these four candidates can be deleted from the other Cells of that region.


naked quads

In the example above, cells A2, B2, C2 and C3 form a Naked Quad in Square "1": four cells with exactly four possible candidates. Each of these candidates must be present in one of these cells. Hence 1 may not be the solution in A1 nor in C1; 3 may not be the solution in B1, B3 nor in C1; 4 may not be the solution in C1; finally, 5 may not be the solution in B3.



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