EXTREMEPUZZLE BOOKS

Extreme Sudoku 3, puzzle 43: step-by-step solution

Step through the whole solution, or skip to the hard parts. Blue digits are placed by the walkthrough; red strike-through marks a candidate being ruled out.

Puzzle
Sudoku, number 43 of 150 in Extreme Sudoku 3
Difficulty
Expert 5 (expert and beyond), from the opening third of the book
Key technique
Nice Loops/AICs
Hard steps
22 of 48 steps need an advanced or expert technique

Blue digits are placed by the walkthrough. Red strike-through marks a candidate being ruled out. Cells are named by row and column: R3C5 is row 3, column 5. Arrow keys step too.

The key technique: Nice Loops/AICs

An alternating chain of strong and weak links. Whichever end is true, the conclusion holds, so the digit at the marked cell is ruled out.

Other advanced and expert techniques in this solve: ALS-XZ (×3), Empty Rectangle (×2), Skyscraper (×2), WXYZ-Wing (×2), 2-String Kite, Cell Forcing Chains, X-Wing/Swordfish, XY-Chain, XY-Wing, XYZ-Wing.

Every move above the basics is listed on the sudoku techniques page, each with a one-sentence explanation and worked examples from the books.

The hard steps, in text (22)
  1. Step 5 · XY-Wing advanced
    Rules out 5 from R7C8, R8C3.
  2. Step 8 · WXYZ-Wing expert
    Rules out 5 from R1C2.
  3. Step 9 · ALS-XZ expert
    Rules out 3 from R9C4, R9C5.
  4. Step 10 · 2-String Kite advanced
    Rules out 3 from R3C6.
  5. Step 11 · Nice Loops/AICs expert
    Rules out 4 from R5C2.
  6. Step 12 · Nice Loops/AICs expert
    Rules out 7 from R3C1.
  7. Step 14 · Empty Rectangle advanced
    Rules out 8 from R4C5.
  8. Step 15 · Empty Rectangle advanced
    Rules out 8 from R8C7.
  9. Step 16 · Nice Loops/AICs expert
    Rules out 5 from R1C3, R2C7, R2C8.
  10. Step 22 · XY-Chain expert
    Rules out 5 from R3C1.
  11. Step 23 · ALS-XZ expert
    Rules out 5 from R4C1.
  12. Step 24 · ALS-XZ expert
    Rules out 5 from R9C5.
  13. Step 25 · Nice Loops/AICs expert
    Rules out 3 from R3C2.
  14. Step 26 · X-Wing/Swordfish advanced
    Rules out 3 from R2C4.
  15. Step 27 · XYZ-Wing advanced
    Rules out 5 from R2C6.
  16. Step 28 · WXYZ-Wing expert
    Rules out 5 from R3C3.
  17. Step 29 · Nice Loops/AICs expert
    Rules out 6 from R4C4.
  18. Step 30 · Cell Forcing Chains expert
    Rules out 1 from R2C3.
  19. Step 32 · Nice Loops/AICs expert
    Rules out 1 from R3C5.
  20. Step 34 · Nice Loops/AICs expert
    Rules out 3 from R3C4.
  21. Step 36 · Skyscraper advanced
    Rules out 5 from R5C1, R9C2.
  22. Step 41 · Skyscraper advanced
    Rules out 7 from R8C5, R9C7.

The book

Volume three: 150 new classic 9×9 grids, none repeated from books 1 or 2, ramping from hard to brutal.

150 new puzzles. Expert and beyond. Puzzles by M. J. Bailey. Paperback, 5 × 8 in, 196 pages, £9.99 / $11.99. Every solution in the book carries a QR code to its own walkthrough, so you can check one step without seeing the whole answer.

On Amazon from 8 Dec About the book

Try a free sample puzzle (PDF) · prints on A4 or US Letter

More step-by-step solutions: Extreme Sudoku 1 · Extreme Killer Sudoku 1 · Extreme Sudoku 2 · Extreme Killer Sudoku 2 · Extreme Killer Sudoku 3.