Islands and sea
A 2×2 sea block is forbidden.
Logic / 3 modes
Islands
A 2×2 sea block is forbidden.
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One game. Several approaches.
Pools
2×2 sea blocks are allowed, but sea stays connected.
Cut-out shores
Cut-out corners are excluded. Each island contains one clue equal to its size. The sea is connected and contains no full 2×2 block. Click cycles unknown → island → sea. Generation independently enumerates islands to check uniqueness, with a simpler fallback template.