Max Area of Island
Given a binary grid where 1=land and 0=water Islands are groups of 1's connected 4-directionally Return the maximum area (number of cells) of any island, or 0 if no islands Example: [[0,0,1,0],[0,1,1,0],[1,1,0,0]] => 4
Max Area of Island is a traversal problem: the hard part is modeling the state you visit. Interviewers love it because it reveals your traversal modeling and your edge-case discipline. Be clear about what a state is; that's the difference between BFS/DFS working or blowing up.

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