A certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k- 1 (where k is an integer that is greater than 1). When the algorithm is run with an input of size 1, it executes seven operations. How many operations does it execute when it is run with an input of size 237 For each integer n 2 1, let s be the number of operations the algorithm executes when it is run with an input of size n. Then so= and s- for each integer k 2 1. Therefore, so. S₂, S is -Select- with
A certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k- 1 (where k is an integer that is greater than 1). When the algorithm is run with an input of size 1, it executes seven operations. How many operations does it execute when it is run with an input of size 237 For each integer n 2 1, let s be the number of operations the algorithm executes when it is run with an input of size n. Then so= and s- for each integer k 2 1. Therefore, so. S₂, S is -Select- with
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k- 1 (where k is an integer that is greater than 1). When the algorithm is run with an input of size 1, it executes seven
operations. How many operations does it execute when it is run with an input of size 23?
For each integer n ≥ 1, let sn-1 be the number of operations the algorithm executes when it is ru
So, for every integer n ≥ 0, 5=
constant -Select-
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, which is
for each integer k 2 1. Therefore, Sor S₁, S₂.
with an input of size n. Then so=
and sk
It follows that for an input of size 23, the number of operations executed by the algorithm is
-Select-
which equals
-Select-
with
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