Find users with highest rating change in an interval

Revision en3, by aravind.nujella, 2024-07-26 02:31:52

Assume a codeforces like platform where there are $$$n$$$ users and their ratings vary over time $$$[0, T]$$$. Now given an interval $$$[l,r]$$$, we would like to find top k profiles which had highest delta in that interval.

Is it possible to answer this query without iterating over $$$n$$$ interval sums? For example we can get $$$O(n\log(n)\log(T))$$$ by maintaing fenwick tree per user and sorting the list of interval sums.

Edit: Added requirement to avoid looping over $$$n$$$ users..

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en3 English aravind.nujella 2024-07-26 02:31:52 0 (published)
en2 English aravind.nujella 2024-07-26 02:21:17 145 (saved to drafts)
en1 English aravind.nujella 2024-07-26 01:35:31 438 Initial revision (published)