EXTREMEPUZZLE BOOKS

Extreme Killer Sudoku 3, puzzle 37: 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 37 of 150 in Extreme Killer Sudoku 3
Difficulty
Expert 3 (expert and beyond), from the opening third of the book
Key technique
Coloring/Multi-coloring
Hard steps
9 of 93 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, Advanced Innies (3+ sectors), Empty Rectangle, Forcing Chains, Remote Pairs, XYZ-Wing.

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 (9)
  1. Step 5 · Empty Rectangle advanced
    Rules out 1 from R6C9.
  2. Step 6 · Advanced Innies (3+ sectors) advanced
    Rules out 8 from R1C7; 1 from R8C3, R9C3; 2 from R8C3, R9C3, R9C4.
  3. Step 39 · Multi-Sector Locking advanced
    Rules out 9 from R3C4.
  4. Step 53 · 2-String Kite advanced
    Rules out 1 from R4C9.
  5. Step 54 · Multi-Sector Locking advanced
    Rules out 4 from R5C7, R6C7.
  6. Step 55 · Coloring/Multi-coloring expert
    Rules out 7 from R6C2.
  7. Step 56 · XYZ-Wing advanced
    Rules out 3 from R5C3.
  8. Step 58 · Remote Pairs expert
    Rules out 3 from R6C2.
  9. Step 75 · Forcing Chains expert
    Rules out 7 from R1C1.

The book

Volume three: 150 new killers, none repeated from books 1 or 2. No starting digits, just cages and their totals, ramping from hard to brutal.

150 new 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.

On Amazon from 15 Dec About the book

Try a free sample puzzle (PDF) · prints on A4 or US Letter

More step-by-step solutions: Extreme Sudoku 1 · Extreme Killer Sudoku 1 · Extreme Sudoku 2 · Extreme Killer Sudoku 2 · Extreme Sudoku 3.