This is a Nurikabe puzzle.

Today (the day I posted this, if I did it correctly) is my birthday. You might be able to guess how old I turned. As a puzzle, this is probably tricky to prove unique (if not solve at all) without a particular formula described by Ivan Koswara in the instruction booklet for his 25 Years contest; with it, it should significantly simplify your search for a solution (and your proof of uniqueness).