Capella MAT2051 Unit 5 Assignment 2 Latest 2019 October
MAT2051 Discrete Mathematics
Unit 5 Assignment 2
Algorithms
and Time Complexity
In
algorithm development, the time and space required for algorithm completion is
paramount. As users, we know that when a computer process takes too long, we
try to avoid it. This truth encourages all IT and computer-based companies to
produce faster products and services.
For this
assignment, write a one- to two-page paper that includes all required
algorithms and pseudocode describing the time and space complexity of algorithms.
Include the following:
Answer the
following questions:
What is
time complexity?
What is
space complexity?
Compare and
contrast polynomial time algorithms and nondeterministic polynomial (NP) time
algorithms (one paragraph minimum).
Provide an
example of an algorithm for each worst-case run times:
O( n).
O( nk).
Note that this is called polynomial-time, where k is any number greater than 1.
NP-time.
Hint: Quick
sort is an algorithm that runs in O( nlog n) time.
Review the
Algorithms and Time Complexity Scoring Guide to understand how the assignment
will be graded.
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