Khalell's blog

Find Mex in a tree path
By Khalell, history, 4 months ago, In English

i have a problem as follow Given a tree with n nodes with unique value for each node and q queries as given two nodes a and b ,find Mex in the path from a to b for each query

(1<n,q<200000)

my solution is using Mo algorithm as mentioned Here. i can find the Mex either using segment tree or set with log(n) for each query,but i think it is a bit hard for my solution to be valid under this constraints .

is there another solution with a better time complexity ?

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4 months ago, # |
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Auto comment: topic has been updated by Khalell (previous revision, new revision, compare).

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4 months ago, # |
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Because of unique value for each node, I think you can for each k find the shotest path p[k] such that 0...k is all on the path p[k]. Then binary search for each query. Can be done with O((n+q) log n).

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4 months ago, # |
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https://codeforces.net/blog/entry/100910

I hope this will help you a bit!

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3 months ago, # |
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Have a look at CF 1930 H

The solution($$$O(n \cdot \log(n))$$$) to 1930 H would work even if you had updates in your problem.

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