Hello, can anybody give me hints for this problem? I think heavy light decomposition could handle the type-1 query, but how about the type-2 query?
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My (author's) solution uses the fact that there are not many nodes having many children and nodes with not so many children are easy to handle.
Of course, as an author I don't want to reveal the full solution but I think this hint is enough for you to get it. I am happy to see many different approaches that didn't occur to me, including a good portion of HLD solutions.
Thanks for your hint. I'll try it again.
I solved this using this technique e.e in $$$O(n \log^2 n)$$$, I can optimize it to $$$O(n \log n)$$$ using this blog.