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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 399 Weeks Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Let ⊗ be an associative binary operator, and let a be a field maintained in each node of a red black tree. Suppose that we want to include in each node x an additional field f such that f[x] = a[x1] ⊗ a[x2] ⊗ ··· ⊗ a[xm], where x1, x2,..., xm is the in order listing of nodes in the sub tree rooted at x. Show that the f fields can be properly updated in O(1) time after a rotation. Modify your argument slightly to show that the size fields in order-statistic trees can be maintained in O(1) time per rotation.
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