) Suppose both functions aFn(i) and bFn() require only one unit of time to be executed. Find the complexity T(n) of the Python code segment above, where n is the size of the input data. No explanation required. b) Suppose function aFn(i) requires i units of time to be executed and bFn()requires only one unit of time. Find the complexity T(n) of the Python code segment above, where n is the size of the input data. No explanation required. c) Given complexity function f(n)=AnA+Bn+nAB+B where A and B are positive integer constants, use the definition of Big-O to prove f(n)=O(nAB). Clearly show the steps of your proof. (* Use definition, not properties of Big-O.)

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
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a) Suppose both functions aFn(i) and bFn() require only one unit of time to be executed. Find the complexity T(n) of the Python code segment above, where n is the size of the input data. No explanation required.

b) Suppose function aFn(i) requires i units of time to be executed and bFn()requires only one unit of time. Find the complexity T(n) of the Python code segment above, where n is the size of the input data. No explanation required.

c) Given complexity function f(n)=AnA+Bn+nAB+B where A and B are positive integer constants, use the definition of Big-O to prove f(n)=O(nAB). Clearly show the steps of your proof. (* Use definition, not properties of Big-O.)

for i in range(n):
aFn(i)
for j in range(n):
for k in range(j+1):
bFn()
Transcribed Image Text:for i in range(n): aFn(i) for j in range(n): for k in range(j+1): bFn()
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