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the task in this activity is to compare the running time of radix sort on an array of integer

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the task in this activity is to compare the running time of radix sort on an array of integer with r=10, r=100, and r=1000. For decimal numbers, r=10, the size of the alphabet is 10 since there are 10 items in the set of {0, 1, ...9}. Because of this, the size of the counter array is 10, which is given in the example code as int cnt[RB]= {0}.

We want to fasten the radix sort by expanding the size of the alphabet from 10 to 100 and 1000. for example, with r=100, the alphabet will be {00, 01, 02,... 97, 98, 99}.

Follow these steps: Randomly create 256K integers between 100000 and 999999 and keep them in three arrays. They will be three copies of the same array. Sort the first array with radix sort, r=10. You process only one digit per iteration. For example, the iteration items will be 5, 3, 1, 0, 9, and 7 for 790135. The example code given this week is sorting with r=10. Report the running time.

Sort the second array with r=100, in which you need to process two digits per iteration. These are 35, 01, and 79 for 790135. Report the running time. Sort the third array with r=1000 in which you need to process three digits per iteration, i.e., 135 and 790 for 790135.

Report the running time Report the running times in milliseconds in the following format: r=10, 207 ms r=100, 67 ms r=1000, 23 ms the program should have only one radix-sort function, which is called for all three sorting operation. This means you do not implement three different radix-sort functions.

 

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