Mathematics Homework Solutions
Problem
#48985

Time Complexity of an Algorithm in Theta Notation : Calculating Time from the Number of Loops

How much time does the following algorithm require as a funciton of n?
Express your answer in theta notation in the simplest form.  Consider each individual instruction (including loop control) as elementary.

l = 0
for i = 1 to n
    for j = 1 to n^2
        for k = 1 to n^3
            l = l + 1


Solution Summary

The number of loops in an algorithm is used to express time required. The solution is detailed and well presented.

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Changping Wang, MA - 4.9/5
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