# Calculating Time from the Number of Loops

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How much time does the following algorithm require as a function 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

https://brainmass.com/math/discrete-math/calculating-time-number-loops-48985

#### Solution Preview

Solution. We need to find the number of elementary operations.

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#### Solution Summary

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

$2.49