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1) Find a real-world information problem that you argue demonstrates one of the

by | Aug 23, 2022 | Java | 0 comments

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1) Find a real-world information problem that you argue demonstrates one of the common growth functions in the Algorithms materials. Explain how the problem demonstrates the function.
Think about how the number of required steps of work grows as the number of data elements to work on grows.
For example, a problem with linear complexity growth means that the work steps grow just as much as the number of data elements does, while a problem with a constant time complexity problem would not grow at all as the data elements grow. If my program must add up the sum of a set of ‘n’ integers, it will require processing every one of the ‘n’ integers, in the worst case (and average case and best case,here). Also, in terms of ‘n’, if ‘n’ grows by 1, my program’s work load also grows by 1, meaning that the work load of my program in terms of n grows just like a linear mathematical function does.
2) Is there a way to solve your problem recursively? If you argue there is, briefly explain an approach. If not, explain what prevents the use of recursion.
In fact, representing the problem well is key to realizing that it can be solved recursively. As I commented in a recent lecture, I can represent my task of scoring a set of assignments (very time-consuming) as :
1) Select the first assignment ‘a’ in set ‘S’. Score ‘a’
2) Score the rest of the set S
Notice that we can repeatedly replace “Score the rest of the set S” with

1) Select the first assignment ‘a’ in set ‘S’. Score ‘a’
2) Score the rest of the set S

until there are no assignments left in S.

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