Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Please consider the following code fragments (a), (b), (c) and (d) where n is the variable specifying data size and C is a constant. What is the tight bound big-Oh time complexity in terms of n in each case? Show 
all necessary steps.

(a) for (int i = 0; i < n; i = i + 10)

---------for (int j = 1; j < 1024; j = j*2)

---------------Sum[i] += j * Sum[i];

b) for (int i = 1; i < n; i = i*2)

---------for (int j = 0; j < i; j = j+2) 

---------------Sum[i] += j * Sum[i]; 

c)for (int i = 1; i < n; i = i * 2) 

--------for (int j = 1; j < i; j = j * 2) 

-------------Sum[i] += j * Sum[i]; 

d)for (int i = 0; i < n; i++)

--------for (int j = 1; j < n; j *= C) 

------------- Sum[i] += j * Sum[i];

(I USED THE DASHED LINES BECAUSE IT WASN'T ALLOWING ME TO SUBMIT WITH EXTRA SPACES. SO, CONSIDER THE DASHED LINES AS SPACES/TABS)

 

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