Consider a binary counter that can increment by any power of 2, i.e. 1,2,4,8,16,... in each increment (instead of just incrementing by 1 every time). The cost of each increment is given by x^3, where x is the number of bits flipped in the increment. Show that the amortized cost of increment is O(n^2) using the potential method or otherwise.
Consider a binary counter that can increment by any power of 2, i.e. 1,2,4,8,16,... in each increment (instead of just incrementing by 1 every time). The cost of each increment is given by x^3, where x is the number of bits flipped in the increment. Show that the amortized cost of increment is O(n^2) using the potential method or otherwise.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Consider a binary counter that can increment by any power of 2, i.e. 1,2,4,8,16,... in each increment (instead of just incrementing by 1 every time). The cost of each increment is given by x^3, where x is the number of bits flipped in the increment. Show that the amortized cost of increment is O(n^2) using the potential method or otherwise.
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