1. Determine the running time of the following algorithm. Write summations to represent loops and solve using bounding. Be sure to show work on both the upper bound and lower bound, justify the split, and check that the bounds differ by only a constant factor. Use asymptotic notation to write the answer. Func1(n) 1 2 3 4 5 6 7 8 9 10 11 S← 0; for i ←n to n² do for j← 1 to i do for k9n to 10n² do for mi to k end end end return (s); end s+s + i- j + k −m;
1. Determine the running time of the following algorithm. Write summations to represent loops and solve using bounding. Be sure to show work on both the upper bound and lower bound, justify the split, and check that the bounds differ by only a constant factor. Use asymptotic notation to write the answer. Func1(n) 1 2 3 4 5 6 7 8 9 10 11 S← 0; for i ←n to n² do for j← 1 to i do for k9n to 10n² do for mi to k end end end return (s); end s+s + i- j + k −m;
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
Related questions
Question

Transcribed Image Text:1. Determine the running time of the following algorithm. Write summations to represent loops
and solve using bounding. Be sure to show work on both the upper bound and lower bound,
justify the split, and check that the bounds differ by only a constant factor. Use asymptotic
notation to write the answer.
Func1(n)
1
2
3
4
5
6
7
8
9
10
11
S← 0;
for i ←n to n² do
for j← 1 to i do
for k9n to 10n² do
for mi to k
end
end
end
return (s);
end
s+s + i- j + k −m;
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