EXTREMEPUZZLE BOOKS

Extreme Sudoku 3, puzzle 29: 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 29 of 150 in Extreme Sudoku 3
Difficulty
Expert 7 (expert and beyond), from the opening third of the book
Key technique
Nice Loops/AICs
Hard steps
18 of 41 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), Skyscraper (×3), Cell Forcing Chains, Finned Fish, Sue de Coq, W-Wing, WXYZ-Wing, X-Wing/Swordfish, XY-Chain.

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 (18)
  1. Step 7 · Skyscraper advanced
    Rules out 3 from R3C4, R5C6.
  2. Step 9 · Skyscraper advanced
    Rules out 4 from R1C9, R8C7.
  3. Step 10 · ALS-XZ expert
    Rules out 9 from R6C6.
  4. Step 11 · Nice Loops/AICs expert
    Rules out 4 from R1C5.
  5. Step 13 · WXYZ-Wing expert
    Rules out 7 from R6C5.
  6. Step 14 · W-Wing advanced
    Rules out 5 from R3C2, R9C4.
  7. Step 15 · Cell Forcing Chains expert
    Rules out 5 from R1C3.
  8. Step 19 · XY-Chain expert
    Rules out 3 from R3C9.
  9. Step 20 · Sue de Coq expert
    Rules out 9 from R1C6.
  10. Step 21 · ALS-XZ expert
    Rules out 9 from R3C9.
  11. Step 22 · Nice Loops/AICs expert
    Rules out 1 from R6C6.
  12. Step 23 · Nice Loops/AICs expert
    Rules out 1 from R6C4.
  13. Step 28 · Skyscraper advanced
    Rules out 5 from R5C3, R9C2.
  14. Step 30 · Nice Loops/AICs expert
    Rules out 1 from R6C7.
  15. Step 31 · Finned Fish expert
    Rules out 1 from R7C9.
  16. Step 32 · Nice Loops/AICs expert
    Rules out 1 from R9C4.
  17. Step 34 · ALS-XZ expert
    Rules out 5 from R7C7.
  18. Step 36 · X-Wing/Swordfish advanced
    Rules out 1 from R8C7.

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.