Dropbox 2018 Onsite New Question - Max Area of Island With Union Find

Have this new onsite question:Find the Max Area of​​ Island (Same as )

Now, suppose if we start the board with all 0s and can flip the cell (i, j) value;

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self.parent[x] != x:
            self.parent[x] = self.find(self.parent[x])
        return self.parent[x]

How do we make this apply to our question?

Hi, when you say "flip the cell (i, j) value", do you only mean turning 0 into 1, but not turning 1 into 0? Thanks!