Question 4  Consider the following function: function HappyAlgo(n) sum = 0 for (i = 1, i <= n, i = i ∗ 4) do for (j = 0, j < i, j = j + 2) do sum = sum + (i + j) end for end for return sum end function c) Define a runtime expression T (n) for the number of iterations run by HappyAlgo in terms of n. d) Define a tight upper bound (using Big–O notation) for the number of iterations run by HappyAlgo in terms of 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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Question 4 

Consider the following function:
function HappyAlgo(n)
sum = 0
for (i = 1, i <= n, i = i ∗ 4) do
for (j = 0, j < i, j = j + 2) do
sum = sum + (i + j)
end for
end for
return sum
end function
c) Define a runtime expression T (n) for the number of iterations run by HappyAlgo in terms of n.
d) Define a tight upper bound (using Big–O notation) for the number of iterations run by HappyAlgo
in terms of n.   

... 

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