Consider this algorithm: a = 0 for i=0 to n for j=i+1 to n a = a + 2 The objective is to find the total number N of additions performed by the above algorithm to execute the statement a = a + 2. Inspire yourself from the analysis of the naive sorting algorithm to: I) Express N as a function of n. 2) Express the final value of a when the algorithm ends 3) Provide the best bound (growth) for N.

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
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I am struggling to find the answer for 1 and 2.

Consider this algorithm:
a = 0
for i=0 to n
for j=i+1 to n
a = a + 2
The objective is to find the total number N of additions performed by the above algorithm to execute the
statement a = a + 2. Inspire yourself from the analysis of the naïive sorting algorithm to:
I) Express N as a function of n.
2) Express the final value of a when the algorithm ends
3) Provide the best bound (growth) for N.
Transcribed Image Text:Consider this algorithm: a = 0 for i=0 to n for j=i+1 to n a = a + 2 The objective is to find the total number N of additions performed by the above algorithm to execute the statement a = a + 2. Inspire yourself from the analysis of the naïive sorting algorithm to: I) Express N as a function of n. 2) Express the final value of a when the algorithm ends 3) Provide the best bound (growth) for N.
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