EXTREMEPUZZLE BOOKS

Extreme Killer Sudoku 3, puzzle 138: 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 138 of 150 in Extreme Killer Sudoku 3
Difficulty
Expert 3 (expert and beyond), from the final, hardest third of the book
Key technique
Remote Pairs
Hard steps
6 of 77 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: 2-String Kite, Advanced Innies (3+ sectors), Coloring/Multi-coloring, Forcing Chains, Sue de Coq.

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 (6)
  1. Step 40 · Advanced Innies (3+ sectors) advanced
    Rules out 8 from R5C8; 6 from R6C9.
  2. Step 41 · Remote Pairs expert
    Rules out 6 from R5C1; 8 from R5C1.
  3. Step 42 · Sue de Coq advanced
    Rules out 6 from R2C2, R3C2, R4C2; 8 from R2C2, R3C2, R4C2.
  4. Step 48 · Coloring/Multi-coloring expert
    Rules out 7 from R2C3.
  5. Step 63 · 2-String Kite advanced
    Rules out 2 from R1C1.
  6. Step 64 · Forcing Chains expert
    Rules out 2 from R1C2.

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.

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