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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.

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.

Database System Concepts
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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Given code: for i in range(n): aFn(i) for j in range(n): for k in range(j+1): bFn() 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)=An^+Bn+n^B+B where A and B are positive integer constants, use the definition of Big-O to prove f(n)=0(n^B). Clearly show the steps of your proof. (* Use definition, not properties of Big-O.)
Transcribed Image Text:Given code: for i in range(n): aFn(i) for j in range(n): for k in range(j+1): bFn() 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)=An^+Bn+n^B+B where A and B are positive integer constants, use the definition of Big-O to prove f(n)=0(n^B). Clearly show the steps of your proof. (* Use definition, not properties of Big-O.)
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