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Author Archives: Brent
Competitive programming in Haskell: building unordered trees
In my previous post I challenged you to solve Subway Tree System, which encodes trees by recording sequences of steps taken away from and towards the root while exploring the whole tree, and asks whether two such recordings denote the … Continue reading
Competitive programming in Haskell: sorting tree shapes
In my previous post I challenged you to solve this problem, which essentially asks how many distinct binary tree shapes are created when we take lists of numbers and build a tree from each by repeated binary search tree insertion. … Continue reading
Competitive programming in Haskell: summer series
Now that this weird and crazy semester is finally over, I’d like to get back to doing some blogging (among other things). I’m going to return to my series on competitive programming in Haskell (previous posts here: basic setup; code … Continue reading
Data structure challenge: application
I forgot to mention this in my previous post, but the thing which got me thinking about the predecessor problem in the first place was this competitive programming problem on Open Kattis: Profitable Pizzas I challenge you to go and … Continue reading
Posted in data structures
Tagged balanced, challenge, competitive, data, empty, full, Kattis, log, rank, rightmost, select, slot, structure, tree, union-find
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Data structure challenge: solutions
In my previous post I challenged you to find a way to keep track of a sequence of slots in such a way that we can quickly (in or better) either mark any empty slot as full, or find the … Continue reading
Posted in data structures
Tagged balanced, challenge, data, empty, full, log, rank, rightmost, select, slot, structure, tree, union-find
3 Comments
Data structure challenge: finding the rightmost empty slot
Suppose we have a sequence of slots indexed from 1 to . Each slot can be either empty or full, and all start out empty. We want to repeatedly do the following operation: Given an index , find the rightmost … Continue reading
Posted in data structures
Tagged challenge, data, empty, full, log, rightmost, slot, structure
14 Comments
Competitive Programming in Haskell: modular arithmetic, part 2
In my last post I wrote about modular exponentiation and egcd. In this post, I consider the problem of solving modular equivalences, building on code from the previous post. Solving linear congruences A linear congruence is a modular equivalence of … Continue reading
