EXTREMEPUZZLE BOOKS

Extreme Killer Sudoku 1, puzzle 9: 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 9 of 150 in Extreme Killer Sudoku 1
Difficulty
Expert 3 (expert and beyond), from the opening third of the book
Key technique
Remote Pairs
Hard steps
6 of 68 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: 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: Multi-Sector Locking (×2), Advanced Innies (3+ sectors), Finned Fish, 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)
  1. Step 6 · Advanced Innies (3+ sectors) advanced
    Rules out 7 from R3C7, R8C7; 1 from R7C1; 2 from R7C1.
  2. Step 13 · Multi-Sector Locking advanced
    Rules out 7 from R1C6, R2C6, R7C6, R8C6.
  3. Step 14 · Remote Pairs expert
    Rules out 5 from R7C6; 6 from R7C6.
  4. Step 15 · Forcing Chains expert
    Rules out 1 from R4C7, R5C7; 8 from R4C7, R5C7.
  5. Step 43 · Multi-Sector Locking advanced
    Rules out 8 from R1C3; 3 from R2C6; 9 from R8C6.
  6. Step 48 · Finned Fish expert
    Rules out 4 from R2C5, R2C6.

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