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Tapa (Island Sizes) (1141)
Instruction:
Shade some empty cells; cells with numbers cannot be shaded. All shaded cells connect along edges to create a single connected region. (It is permissible for the region to touch itself at a corner, but touching at a corner does not connect the region.) No 2×2 group of squares can be entirely shaded.
Numbers in a cell indicate the lengths of contiguous shaded cell groups along the "ring" of 8 cells touching that cell (fewer for cells along the outside edge). If there is more than one number in a cell, then there must be at least one white (unshaded) cell between the shaded cell groups. The numbers are given in no particular order. As a special case, if the number given in a cell is a zero (0), it means that none of the cells around that cell can be shaded.
Unshaded cells also connect along edges to create multiple regions. The set of the sizes of these regions (in cells) are provided -- for example, a set of {4,4,5} indicates that there are two regions of size 4 and one region of size 5.