EXTREMEPUZZLE BOOKS

Extreme Killer Sudoku 3, puzzle 49: 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 49 of 150 in Extreme Killer Sudoku 3
Difficulty
Expert 2 (expert and beyond), from the opening third of the book
Key technique
Forcing Chains
Hard steps
9 of 70 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 (×3), Empty Rectangle (×2), Advanced Innies (3+ sectors), Remote Pairs, Sue de Coq.

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 (9)
  1. Step 15 · Multi-Sector Locking advanced
    Rules out 8 from R5C5, R5C6; 9 from R5C5, R5C6.
  2. Step 21 · Advanced Innies (3+ sectors) advanced
    Rules out 6 from R4C6, R4C8; 7 from R4C6, R4C8.
  3. Step 24 · Empty Rectangle advanced
    Rules out 7 from R4C3.
  4. Step 28 · Empty Rectangle advanced
    Rules out 6 from R4C1.
  5. Step 30 · Sue de Coq advanced
    Rules out 6 from R2C1; 4 from R5C3, R6C3, R7C3, R8C3 and 1 more; 5 from R5C3, R6C3, R7C3, R8C3 and 1 more.
  6. Step 31 · Multi-Sector Locking advanced
    Rules out 7 from R8C2, R9C2.
  7. Step 32 · Forcing Chains expert
    Rules out 7 from R1C9.
  8. Step 60 · Multi-Sector Locking advanced
    Rules out 6 from R8C2, R8C3; 8 from R8C3.
  9. Step 61 · Remote Pairs expert
    Rules out 1 from R8C2, R9C1; 9 from R8C3, R9C1.

The book

Volume three: 150 new killers, none repeated from books 1 or 2. 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.

On Amazon from 15 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 Sudoku 3.