radoslav11's blog

Link cut tree question.
By radoslav11, history, 6 years ago, In English

Hello!

Recently I relearned link cut trees and now I'm curious how to do subtree updates/queries as I have seen comments in the past that it's possible. So can someone share how to do it and also can we perform both subtree and path queries/updates simultaneously?

Also can someone share some interesting (and hard) problems with link cut trees which you have encountered and liked.

Thanks in advance! :)

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6 years ago, # |
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For subtree queries, check this blog: Memphis's Blog

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6 years ago, # |
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I think you can only do path queries with LC-T, for subtree queries use Euler tree.

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6 years ago, # |
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If I didn't misunderstood anything, it seems like a simple modification of euler tour technique — If you imagine an euler tour sequence of length 2N-2, subtree queries are subsegment queries, and link / cut operations corresponds to a subsegment splicing / merging. Thus everything can be done with a splay tree.

There is an awesome practice problem here, where you have 12 kind of queries, yay!!!

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    6 years ago, # ^ |
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    But then how to answer path queries (I was curious if it was possible to do both subtree and path queries)?

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      6 years ago, # ^ |
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      So I really misunderstood something, sorry :/

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6 years ago, # |
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A hard problem

https://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&category=229&page=show_problem&problem=3149

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5 years ago, # |
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wow u 've got the post #60000 :O

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