Round 11: Tossup 18

A 2015 paper by Haeupler, Sen, and Tarjan relaxes this property in one data structure and uses an exponential potential function-based analysis to show that this property can be enforced in constant amortized time. Aragon and Seidel pioneered a hybrid-named data structure that uses a randomized strategy to enforce this property more efficiently. A pair of sorted linked lists are used to enforce this property periodically using the Day-Stout-Warren algorithm. One data structure enforces this property by ensuring its namesake (*) “factor” always has a magnitude of at most 1 for each element. “Rotations” are used to automatically maintain this property (10[1])in AVL and red-black examples of a certain data structure. For 10 points, name this property of binary search trees whose left and right branches have similar heights. ■END■

ANSWER: self-balanced [or word forms; accept balance factor; accept height-balanced binary search tree or self-balancing binary search tree or rank-balanced tree] (The second line refers to a treap.)
<Sky Li, Other Science (Computer Science)> | NAFTA-Packet-11
= Average correct buzzpoint

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Buzzes


Summary

TournamentEditionMatchHeardConv. %Power %Neg %Avg. Buzz
2025 NAFTA Online02/14/2026475%25%25%100.67
2026 NAFTA at Vanderbilt02/14/20261100%100%0%68.00
2025 NAFTA at Toronto09/13/20251100%0%0%80.00
2025 NAFTA at Maryland09/27/20251100%0%0%99.00
2025 NAFTA at Chicago11/08/20256100%0%0%94.50