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Pentahex Islands (1196)
Instruction:
Shade some empty (non-numbered) cells to form pentahexes; all unshaded cells must be connected along cell edges into one large region. You cannot have more than one pentahex of the same shape (rotations and reflections of a pentahex count as the same shape). Pentahexes cannot touch along cell edges or cell corners. Cells labeled '3' must touch three unshaded cells along an edge; cells labeled '4' must touch four unshaded cells along an edge. All other unshaded cells must touch a number of unshaded cells other than three or four. No edge in the grid may touch four unshaded cells (that is, no 2×2 group of cells can be entirely unshaded). Some cells may already be shaded for you.