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Shikaku glossary

The vocabulary used in our guides, hints and solver.

Clue (number)
A given number in the grid. It states the area of the rectangle that contains it.
Rectangle (region, block)
A solid rectangular group of cells that contains exactly one clue. Squares are rectangles.
Area
The number of cells in a rectangle: width × height.
Option (candidate)
One possible placement of a rectangle for a clue, consistent with the rules so far.
Forced rectangle
A clue with only one remaining option. It can be drawn immediately.
Reachability
Whether any option of a clue covers a given cell. A cell reachable by only one clue belongs to it.
Overlap
Cells shared by every remaining option of a clue. They belong to that clue even before its shape is known.
Region counting
Using the fact that a sealed-off area must contain clues that sum to its number of cells.
Contradiction
Assuming an option and showing it leads to an impossible position, so the other option must be true.
Unique solution
A puzzle with exactly one valid answer. Every PuzzleShikaku puzzle is checked for this.
Nikoli
The Japanese puzzle publisher that first published Shikaku in 1989 and popularised Sudoku.
Shikaku ni Kire
The original Japanese title (四角に切れ), roughly “divide by squares”.
Prime clue
A clue that is a prime number (2, 3, 5, 7…). Its rectangle is always a 1-wide strip.

See these ideas in action in the strategy guide.