Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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solve this problem, please. Thanks in advance
![Problem 1: The Mysterious Function
We have come through an old interesting function whose pseudo-code was defined as
follows:
Algorithm 1 MYSTERIOUS-FUNCTION(n)
Require: n e Z An< 222
if n 2 222 then
return n – 14
else
return MYSTERIOUS-FUNCTION(MYSTERIOUS-FUNCTION(n + 15))
end if
a) Implement the algorithm in Python
b) Try various inputs, within the valid range n < 222, what have you noticed of the
output?
c) Prove your thoughts, hypothesis, in part (b)
[Hint: use your implementation to prove a property of the output at a particular
input along with inductive scheme]
d) Empirically, show the performance curve of the algorithm using time measurements](https://content.bartleby.com/qna-images/question/5aa3f3f3-017c-45cb-a68b-3b6297709550/2f923ee4-5dfc-4744-a9a8-6783c869b56a/x7evslw_processed.png)
Transcribed Image Text:Problem 1: The Mysterious Function
We have come through an old interesting function whose pseudo-code was defined as
follows:
Algorithm 1 MYSTERIOUS-FUNCTION(n)
Require: n e Z An< 222
if n 2 222 then
return n – 14
else
return MYSTERIOUS-FUNCTION(MYSTERIOUS-FUNCTION(n + 15))
end if
a) Implement the algorithm in Python
b) Try various inputs, within the valid range n < 222, what have you noticed of the
output?
c) Prove your thoughts, hypothesis, in part (b)
[Hint: use your implementation to prove a property of the output at a particular
input along with inductive scheme]
d) Empirically, show the performance curve of the algorithm using time measurements
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