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Tapa

Colour some cells to create a continuous shape that contains no 2x2 square. Numbers in a cell denote the lengths of the sequences of connected neighbouring coloured cells when looking at its (at most 8) direct neighbours only. If there is more than one number in a square, there must be at least one white cell between the coloured cell sequences. Cells containing a number cannot be coloured. Question marks that occur in some puzzles can mean any digit other than 0.

Example

The square with the two 2's is a good starting point. It has just one sequence of five neighbouring squares. This can only be split up in two groups of two with one empty square between them.

The 2 in the lower right of the puzzle now already has a sequence of 2 around it and it means the cell above it will remain empty.

One of the rules of Tapa says that all coloured squares should be connected. To connect the two groups of two cells we have, we have to colour the three leftmost cells on the second row. With this, the leftmost 3 on the top row has been satisfied. To satisfy the other 3, we also need to colour the rightmost cell on row 2, and this completes the puzzle.

Background

Tapa was invented by the Turkish puzzle designer Serkan Yürekli.


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