Puzzle Fuel
Expert

Simple coloring

Alternate-color a chain of strong links on one digit.

Simple coloring takes the strong-link idea and globalizes it. In any unit where a digit has exactly two candidate cells, one of those two cells must contain the digit — the cells are tied. Chain those ties across the grid for a single digit, and alternate-color the cells as you go (color A, color B, A, B…).

Once the chain is colored, any cell outside the chain that sees both an A-colored cell and a B-colored cell cannot be the digit. Whichever color turns out to be "true," the cell sees a true cell of that digit and is excluded.

It's the move that teaches you to see the grid as a network — and it's where expert-tier sudoku really begins.

When the move applies

After X-Wings and Y-Wings, build strong-link maps for digits that still have several two-candidate units. Chains form in the late middle game and unlock most of what's left.

The procedure

  1. Pick a digit.
  2. Find every unit where the digit has exactly two candidates — those pairs are strong links.
  3. Connect the strong links into chains; color the cells alternately A and B.
  4. Eliminate the digit from any cell outside the chain that sees both an A-cell and a B-cell.

On a small board

6
A chain of 6's strong links, alternately colored. Outside cells seeing both colors drop 6.