EXTREMEPUZZLE BOOKS

Extreme Killer Sudoku 1, puzzle 120: 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 120 of 150 in Extreme Killer Sudoku 1
Difficulty
Expert 2 (expert and beyond), from the final, hardest third of the book
Key technique
Coloring/Multi-coloring
Hard steps
4 of 73 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: 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) (×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 (4)
  1. Step 11 · Advanced Innies (3+ sectors) advanced
    Places 3 in R7C4 and rules out 2 from R1C4, R1C6, R2C4, R6C6 and 5 more; 3 from R1C4, R2C4, R5C4, R6C4 and 14 more; 4 from R1C6, R4C3.
  2. Step 35 · Advanced Innies (3+ sectors) advanced
    Rules out 1 from R6C5.
  3. Step 36 · Coloring/Multi-coloring expert
    Rules out 9 from R4C5, R6C6.
  4. Step 67 · Forcing Chains expert
    Rules out 6 from R1C7.

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