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.
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter12: Review Of Calculus And Probability
Section12.6: The Normal Distribution
Problem 8P
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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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