Q1. Suppose you have an algorithm where the efficiency function is T(n)=1/8 n² , where n is the size of an input. Suppose you have an old computer and replace it with a newer one. The new computer executes an operation 1000 times faster than older. Suppose you have t minutes to complete execution of an input. Can you estimate by what factor the new computer will increase the sizes of the input solved in the same amount of time as the old computer?

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Q1. Suppose you have an algorithm where the efficiency function is T(n)=1/8 n² , where n is
the size of an input. Suppose you have an old computer and replace it with a newer one. The
new computer executes an operation 1000 times faster than older. Suppose you have t
minutes to complete execution of an input. Can you estimate by what factor the new
computer will increase the sizes of the input solved in the same amount of time as the old
computer?
Transcribed Image Text:Q1. Suppose you have an algorithm where the efficiency function is T(n)=1/8 n² , where n is the size of an input. Suppose you have an old computer and replace it with a newer one. The new computer executes an operation 1000 times faster than older. Suppose you have t minutes to complete execution of an input. Can you estimate by what factor the new computer will increase the sizes of the input solved in the same amount of time as the old computer?
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