EXTREMEPUZZLE BOOKS

Extreme Killer Sudoku 2, puzzle 111: 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 111 of 150 in Extreme Killer Sudoku 2
Difficulty
Expert 4 (expert and beyond), from the final, hardest third of the book
Key technique
Coloring/Multi-coloring
Hard steps
9 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: Empty Rectangle (×2), Finned Fish, Forcing Chains, Multi-Sector Locking, Remote Pairs.

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 20 · Empty Rectangle advanced
    Rules out 2 from R6C1.
  2. Step 21 · Empty Rectangle advanced
    Rules out 9 from R7C7.
  3. Step 22 · Multi-Sector Locking advanced
    Rules out 8 from R2C3; 9 from R6C3, R7C2, R8C2, R9C1 and 1 more.
  4. Step 26 · Coloring/Multi-coloring expert
    Rules out 2 from R3C6.
  5. Step 27 · Coloring/Multi-coloring expert
    Rules out 4 from R3C4.
  6. Step 28 · Coloring/Multi-coloring expert
    Rules out 8 from R4C1, R4C2, R5C1, R6C1.
  7. Step 30 · Finned Fish expert
    Rules out 8 from R6C6.
  8. Step 31 · Forcing Chains expert
    Rules out 2 from R1C3; 6 from R1C3.
  9. Step 63 · Remote Pairs expert
    Rules out 4 from R6C8; 9 from R6C8.

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.

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