EXTREMEPUZZLE BOOKS

Extreme Killer Sudoku 2, puzzle 61: 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 61 of 150 in Extreme Killer Sudoku 2
Difficulty
Expert 2 (expert and beyond), from the middle third of the book
Key technique
Forcing Chains
Hard steps
6 of 87 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: Forcing Chains

Try each candidate of one cell in turn. Every choice leads to the same result, so that result must be true.

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

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 (6)
  1. Step 12 · Advanced Innies (3+ sectors) advanced
    Places 1 in R9C4 and rules out 9 from R1C4, R8C3; 1 from R2C4, R3C4, R4C4, R5C4 and 6 more; 2 from R8C4.
  2. Step 21 · Multi-Sector Locking advanced
    Rules out 1 from R6C8.
  3. Step 22 · Forcing Chains expert
    Rules out 8 from R1C4.
  4. Step 59 · 2-String Kite advanced
    Rules out 6 from R5C9.
  5. Step 60 · Multi-Sector Locking advanced
    Rules out 7 from R8C7.
  6. Step 61 · Finned Fish expert
    Rules out 6 from R6C9.

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