( Empirical Analysis of Performance and Algorithm Visualization ) Take an available…

(Empirical Analysis of Performance and Algorithm Visualization)

  1. Take an available implementation of the Selection Sort algorithm. Run it on a randomly generated data of fixed size and note down the execution time. Repeat the experiment 10 times on the same data and fill the table below.

Trial #

Execution Time (ms)

1

2

3

4

5

6

7

8

9

10

  1. Why is the execution time different for each trial?

  1. A good way to approximate the execution time is to take the average time of multiple trials. Do this for different data sizes and fill the table below:

Data Size (number of elements)

Average Execution Time of 10 trials (ms)

10

100

1000

5000

10,000

50,000

100,000

500,000

1,000,000

  1. Plot the data in the table above. Average time along y-axis and the data size along x-axis.
  1. The time complexity of Selection Sort algorithm is O(n^2). Plot it and verify that the curve looks like the one in (d).
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