Extreme Killer Sudoku 1, puzzle 57: 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: Coloring/Multi-coloring
Following one digit’s strong links, cells get two colours: one colour is true and the other is false. A cell that sees both colours cannot hold the digit.
Other advanced and expert techniques in this solve: Advanced Innies (3+ sectors), 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 (4)
- Step 21 · Advanced Innies (3+ sectors) advanced
Places 9 in R5C9, 4 in R6C9 and rules out 9 from R5C3, R5C5, R5C6, R7C3; 4 from R6C2, R6C3, R7C3; 2 from R7C3. - Step 60 · Multi-Sector Locking advanced
Rules out 7 from R8C5. - Step 61 · Coloring/Multi-coloring expert
Rules out 4 from R8C6. - Step 65 · Forcing Chains expert
Rules out 8 from R1C2.
The book
No starting digits at all: just cages and their totals. Sudoku rules, plus arithmetic, plus a lot of nerve.
150 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 Sudoku 2 · Extreme Killer Sudoku 2 · Extreme Sudoku 3 · Extreme Killer Sudoku 3.