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



Bi-Value Universal Grave

Let us define a Deadly Pattern as a configuration of candidates that leads to several solutions for a particular puzzle. The simplest example being a puzzle with only two unsolved Cells containing the same two candidates: such a puzzle has two solutions. A proper Sudoku puzzle has a unique solution, thus solving a puzzle should not lead to a "Deadly Pattern".

When you arrive at a situation where all unsolved Cells are "Bi-Value" Cells except one that still contains three candidates, consider the candidates in that Cell. If eliminating one of them leads to a Deadly Pattern (the two other candidates occurring twice in the Row and twice in the Column and twice in the Square to which the Cell belongs), then this candidate must be the solution for that Cell.

Indeed, keeping this candidate is the ony way to avoid a "Deadly Pattern".


Bi-Value Universal Grave

In this example if candidate 8 were eliminated in F5, there would be two possible solutions:

  • F1=1, F5=6, F8=8, D7=6, D5=8, E5=1, E2=8, etc
  • F1=8, F5=1, F8=6, D7=8, D5=6, E5=1, E2=1, etc
With candidate 8 as the solution in F5, the puzzle has a unique solution.



You can practice this strategy by installing the SudokuCoach application on your Android™ device.

Get it on Google Play