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Fireworks in sudoku

Extreme · rating cost 400 · Miscellaneous · also called Firework, Triple Firework

Three digits missing from a row and a column whose candidates in those two units, outside the box where they cross, all sit in one wing cell of each.

Why it works

Each digit sits in a wing, or else inside the box for both the row and the column, which can only be the cell where they cross. Three digits therefore fill these three cells, which lose all candidates except those three digits.

How to spot it

Scan a row and column that cross in a box for digits whose candidates outside that box sit in a single cell of each.

Worked example

Fireworks example on a sudoku board. Fireworks: digits 1/4/8 each must land on one of r8c6 (cross), r8c3 (row wing) or r2c6 (column wing), locking those three cells, so all other candidates there are removed.
remove the cross and its two wings: the only cells 1/4/8 can land on

Fireworks: digits 1/4/8 each must land on one of r8c6 (cross), r8c3 (row wing) or r2c6 (column wing), locking those three cells, so all other candidates there are removed.

Step 27 of this puzzle's solution, found and verified by the sudokUI engine. Cells are named by row and column: r2c3 is row 2, column 3. Play this puzzle from the start.

Practise it on a real puzzle. sudokUI generates a puzzle that needs Fireworks and takes you straight to the position where it applies. Hints draw the pattern on the board and explain the step.

Practice FireworksOpen in the app's guide

In a puzzle's rating

Each time the solver needs Fireworks, the puzzle's difficulty rating grows by 400. Its class is Extreme. It is needed in 1 in 120,000 puzzles that sudokUI generates. How the rating works.

More miscellaneous

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