# 4-Garwick - Garwicks Algorithm Motivate using successor...

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Garwick’s Algorithm Motivate using successor lists of the topological sort problem! Garwick’s technique:for 3 or more stacks (or any contiguous information): (fixed fraction) + space (~recent growth) + space (~size) 10% ρ x 90% (1-ρ) x 90% Table Table Base Max X X X X X X X X X X Base Top Base Top Base Top Base Top Base 1 1 2 2 3 3 4 4 5 Allocation Algorithm : Reallocates space for sequential stacks when overflow occurs (i.e. when an element is to be inserted in some stack k but Top(k)+1>Base(k+1) - so if entered it would overwrite the bottom element of the (k+1) th stack). Moving Algorithm : Assumes Top(k) has been changed to Top(k)+1 and then overflow was recognized but Top(k) was not changed back. Assume arrays Top, Base, Oldtop, Newbase and Increase. Base(i) = Top(i) implies stack i is empty. The algorithm is invoked when some stack overflows. The Garwick Algorithm : 1. a) Calculate Total Space Used ( ∑ i=1, N (Top(i)-Base(i)) )

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• Fall '16
• James Korsh
• Sort, Garwick Algorithm

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