EXTREMEPUZZLE BOOKS

Extreme Killer Sudoku 1, puzzle 56: 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 56 of 150 in Extreme Killer Sudoku 1
Difficulty
Expert 2 (expert and beyond), from the middle third of the book
Key technique
Coloring/Multi-coloring
Hard steps
5 of 66 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: Multi-Sector Locking (×2), 2-String Kite, 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 (5)
  1. Step 19 · Multi-Sector Locking advanced
    Rules out 2 from R4C9; 3 from R4C9; 6 from R6C6.
  2. Step 50 · 2-String Kite advanced
    Rules out 6 from R8C2.
  3. Step 51 · Coloring/Multi-coloring expert
    Rules out 1 from R6C1.
  4. Step 54 · Multi-Sector Locking advanced
    Rules out 1 from R1C2.
  5. Step 55 · Forcing Chains expert
    Rules out 2 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