What regular language intersects with 1*0* gives 1n0n

StackOverflow https://stackoverflow.com/questions/4938737

質問

I'm reading a book on automata theory, and the book gives an example that a language with equal number of 0s and 1s intersects with 1*0* would result 1n0n, where n > 0

So my question is, how can I find some regular languages that when intersected with 1*0*, would also results in 1n0n. Is there a way to think about that?

update: Thanks for the answers! I guess what I'm trying to find is some regular languages, so the ones like 1n0n wouldn't work ;) Is it possible? Any ideas?

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