EXTREMEPUZZLE BOOKS

Extreme Killer Sudoku 2, puzzle 19: 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 19 of 150 in Extreme Killer Sudoku 2
Difficulty
Expert 2 (expert and beyond), from the opening third of the book
Key technique
Forcing Chains
Hard steps
8 of 83 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: Forcing Chains

Try each candidate of one cell in turn. Every choice leads to the same result, so that result must be true.

Other advanced and expert techniques in this solve: Multi-Sector Locking (×2), XY-Wing (×2), 2-String Kite, Coloring/Multi-coloring, Skyscraper.

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 (8)
  1. Step 21 · Forcing Chains expert
    Rules out 5 from R1C1.
  2. Step 42 · Multi-Sector Locking advanced
    Rules out 9 from R3C5; 1 from R6C1, R6C4.
  3. Step 57 · XY-Wing advanced
    Rules out 6 from R7C6.
  4. Step 58 · XY-Wing advanced
    Rules out 8 from R4C4, R5C4.
  5. Step 59 · Skyscraper advanced
    Rules out 2 from R5C5.
  6. Step 61 · 2-String Kite advanced
    Rules out 8 from R6C7.
  7. Step 62 · Multi-Sector Locking advanced
    Rules out 2 from R7C8.
  8. Step 65 · Coloring/Multi-coloring expert
    Rules out 3 from R4C8, R5C8.

The book

Volume two: 150 new killers, none repeated from book 1. 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.

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