EXTREMEPUZZLE BOOKS

Extreme Killer Sudoku 2, puzzle 31: 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
Killer sudoku, number 31 of 150 in Extreme Killer Sudoku 2
Difficulty
Expert 2 (expert and beyond), from the opening third of the book
Key technique
Finned Fish
Hard steps
5 of 77 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: Finned Fish

An X-Wing or Swordfish with one extra candidate (the fin). Cells that are in the fish pattern and also see the fin lose the digit.

Other advanced and expert techniques in this solve: Advanced Innies (3+ sectors) (×2), Forcing Chains, Multi-Sector Locking.

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

The hard steps, in text (5)
  1. Step 24 · Advanced Innies (3+ sectors) advanced
    Rules out 3 from R5C1, R5C6; 7 from R5C1, R8C4; 8 from R5C1, R9C4.
  2. Step 41 · Multi-Sector Locking advanced
    Rules out 4 from R6C3.
  3. Step 43 · Advanced Innies (3+ sectors) advanced
    Rules out 7 from R5C3, R5C7.
  4. Step 44 · Finned Fish expert
    Rules out 3 from R1C3, R2C3.
  5. Step 48 · Forcing Chains expert
    Rules out 1 from R2C6.

The book

Volume two: 150 new killers, none repeated from book 1. No starting digits, just cages and their totals, 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.

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