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(Solved): The purpose of this assignment is to introduce students to the experimental analysis of algorithms. ...



The purpose of this assignment is to introduce students to the experimental analysis of algorithms. In this assignment, we will study the behavior of two types of fundamental data structures in real-world situations: linked lists and dynamic arrays. Additionally, we will compare and contrast these results with the expected theoretical outcomes. Linear Search + Insertion. In this part, you will test the concepts of linear search and insertion in these containers by inserting elements into them while keeping the container sorted in ascending order. Contrary to the previous experiments, the elements should be in random order so that the insertion point is not trivial (always at the beginning or end of each container). It is recommended to follow these guidelines for a run that includes N elements of size K each (8 bytes, 64 bytes, 1024 bytes): - Generate an array of integers with numbers 0 to N - 1. - Randomize the elements of the integer array. - For each element of the randomized array: - Create an element of size K, but with a search key equal to the corresponding integer. - Find the corresponding insertion point in the container by running a linear search to maintain the container sorted in ascending order by numeric key. - Insert the element of size K at that point. Try to ensure that the creation of the array with random numbers and the creation of elements of size K do not impact the measured runtime of the algorithm. Consider excluding one or both aspects from the time measurement. Specify the decision you made in this regard. Except for the specific conditions of this experiment, the conditions of the experiment in Part 4 remain unchanged. The applicable conditions are: - Combinations (container, container size, element size). - Repeat the runs several times to obtain measurements that can be averaged. - Presentation format of the data.



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