EXTREMEPUZZLE BOOKS

Extreme Killer Sudoku 2, puzzle 23: 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 23 of 150 in Extreme Killer Sudoku 2
Difficulty
Expert 3 (expert and beyond), from the opening third of the book
Key technique
Remote Pairs
Hard steps
7 of 79 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: Remote Pairs

A chain of cells that all hold the same pair alternates between the two digits. Cells that see both ends of an odd-length link cannot hold either digit.

Other advanced and expert techniques in this solve: Multi-Sector Locking (×2), 2-String Kite, Advanced Innies (3+ sectors), Coloring/Multi-coloring, 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 (7)
  1. Step 15 · Multi-Sector Locking advanced
    Rules out 7 from R7C4, R7C5; 1 from R8C4, R9C4, R9C5, R9C6.
  2. Step 16 · Remote Pairs expert
    Rules out 8 from R2C8, R2C9, R3C5; 9 from R2C8, R2C9, R3C5.
  3. Step 22 · Forcing Chains expert
    Rules out 8 from R1C8.
  4. Step 43 · Multi-Sector Locking advanced
    Rules out 5 from R4C7, R5C4, R6C4, R6C5; 8 from R7C4, R7C5.
  5. Step 55 · 2-String Kite advanced
    Rules out 1 from R8C8.
  6. Step 56 · Advanced Innies (3+ sectors) advanced
    Rules out 2 from R4C5, R7C5; 3 from R4C5, R4C6.
  7. Step 57 · Coloring/Multi-coloring expert
    Rules out 1 from R7C8.

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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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 Sudoku 3 · Extreme Killer Sudoku 3.