How can I set cursorline only during a search?

I don't use the cursorline, but I would find it helpful to set it during a whenever I press 'n' or 'N' to make the line of the current search match pop out. However once I press anything other than n or N, I'd like to turn the cursorline off. I can do something like 'nnoremap n :setlocal cursorline<CR>n', but I'm not sure how I can conditionally turn it off provided the next key I press isn't an 'n' or 'N'. Any ideas how I could do this?

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