Problem 1: The Mysterious FunctionWe have come through an old interesting function whose pseudo-code was defined asfollows:Algorithm 1 MYSTERIOUS-FUNCTION(n)Require: n E Z An< 350if n > 350 thenreturn n – 47elsereturn MYSTERIOUS-FUNCTION(MYSTERIOUS-FUNCTION(n + 48))end ifa) Implement the an or.chm in Pythonb) Try various inpi ts, with the valid range n < 350, what have you noticed of theoutput?Prove your thoughts, hypothesis, in part (b)[Hint: use your implementation to prove a property of the output at a particularinput along with inductive scheme]d) Empirically, show the performance curve of the algorithm using time measurements

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

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

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Problems on Turing Machines

In the computational world, the Turing machine is a powerful computation engine. The invention of the Turing Machine is done by Alan Turing in 1936. A Turing Machine (TM) is a diagrammatic model of a fictional computer. It determines an output from a set of input variables using a pre-defined set of rules. It is used to get around the limitations of finite automata and pushdown automata.

Question

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< 350
if n > 350 then
return n – 47
else
return MYSTERIOUS-FUNCTION(MYSTERIOUS-FUNCTION(n + 48))
end if
a) Implement the an or.chm in Python
b) Try various inpi ts, with the valid range n < 350, what have you noticed of the
output?
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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