Extreme Killer Sudoku 3, puzzle 58: 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.
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: Remote Pairs
A chain of cells that all hold the same pair alternates between the two digits. Cells that see both ends of an odd-length link cannot hold either digit.
Other advanced and expert techniques in this solve: Advanced Innies (3+ sectors) (×2), Multi-Sector Locking (×2), Forcing Chains.
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)
- Step 6 · Multi-Sector Locking advanced
Rules out 9 from R3C7, R3C8. - Step 7 · Advanced Innies (3+ sectors) advanced
Rules out 5 from R2C3, R5C3, R5C6, R6C3 and 1 more; 6 from R2C3, R5C6, R6C6; 7 from R5C3, R5C6, R6C3, R6C6. - Step 24 · Multi-Sector Locking advanced
Rules out 2 from R3C7, R3C8. - Step 26 · Advanced Innies (3+ sectors) advanced
Rules out 3 from R2C3; 4 from R2C3. - Step 27 · Remote Pairs expert
Rules out 8 from R4C7, R4C8, R5C4, R5C5; 9 from R4C8, R5C4, R5C5. - Step 68 · Forcing Chains expert
Rules out 5 from R1C2.
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.
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.