GridWits
Extreme tier Technique 25 of 46 Used by Smart Hint

Hidden Unique Rectangles

A Unique Rectangle deadly pattern hidden behind extra candidates, uncovered via strong links on one of the pattern's two digits instead of bare bivalue corners.

How it works

  1. 1B1, E1, B2 and E2 form a rectangle across two rows, two columns and exactly two boxes — the only shape a uniqueness argument can sit on — and all four carry {4, 6}.
  2. 2Only B1 is a bare pair; the other three hold extras, so none of the plain Unique Rectangle types can see the pattern at all.
  3. 3Digit 6 is strongly linked along E2's row (E2 ↔ B2) and down its column (E2 ↔ E1): in each of those units, 6 has only those two homes left.
  4. 4Suppose E2 were 4. Then it isn't 6, so both strong links fire and force 6 into B2 and E1. B1 sees both, so B1 can't be 6 — it must be 4, and the four corners come down to a {4, 6} rectangle that could swap. Two solutions; so E2 isn't 4.

Play a Sudoku that needs this technique →

A 1 B 2 C 3 D 4 E 5 F 6 G 7 H 8 I 9 4 6 4 6 9 2 4 6 4 6 7 4 6 4 4 4
  • First colour in the chain
  • Second colour in the chain
  • Cells that establish the pattern
  • Where the conclusion lands
  • Candidate ruled out
Next in the ladder Aligned Pair Exclusion →

Two cells that don't share a unit are checked against every "almost locked" set nearby — any combination of their candidates that would leave one of those sets with no valid completion is ruled out.