Extreme Killer Sudoku 1, puzzle 143: 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), Coloring/Multi-coloring, Forcing Chains, 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 (6)
- Step 30 · Sue de Coq advanced
Rules out 3 from R2C2, R8C3, R9C3; 4 from R2C2; 6 from R2C2. - Step 37 · Advanced Innies (3+ sectors) advanced
Rules out 3 from R6C5, R8C5; 6 from R8C5. - Step 38 · Forcing Chains expert
Rules out 4 from R1C1. - Step 56 · Remote Pairs expert
Rules out 2 from R3C6. - Step 57 · Remote Pairs expert
Rules out 5 from R3C3; 8 from R3C3. - Step 61 · Coloring/Multi-coloring expert
Rules out 6 from R3C6.
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.