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Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Need help with Question #2.
Question #1 has been provided to you for sample reference along with the work.

Transcribed Image Text:1. Suppose a recursive algorithm performs 2 recursive calls. Assume the first recursive call is
of size at most 70% the original input size, and the second call is of size at most 25% of the
original input size. In addition, the algorithm performs O(n) additional work after making
these recursive calls. What is the big-Oh run time of this algorithm?
Solt
Suppose total recursive call is l00% ie 'n' times
So, maximum height of Hhe tree is:
firet Call recursive sige atmost toy. (-e 3n'
1
Second recursive call size atmost ie 'n'
:(총)"
So, re cuTrcnce relation i'!
take 'log'
both sidy,we get
on
T(n) = 3T
(2) +
T(4)
log n
K
%3D
Addlitional
time
using tree methed t
→ o(n)
S, Maximum number of level is
and
each level
take time of oln)
6o, to tal time Compleuty is
ocn)
3n
→ o(n)
K' steps
als.

Transcribed Image Text:2. Suppose the above algorithm performs a recursive call of size 75% for the first recursive call,
with everything else remaining the same. What is the big-Oh run time for this algorithm
now?
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