Write three sorting programs, i.e., insertion sort, merge sort, and quicksort, and run on randomly generated 100, 1,000, 5,000 and 10,000 integers to verify the complexity of algorithms. In details,
1. Write a program in C or C++ and add step counting instructions at the instruction of comparison, swamping, and additional copying.
2. Print the sorted results of three algorithms for 100, and 1000 numbers.
3. Print the counted steps for sorting 100, 1,000, 5,000 and 10,000 numbers.
4. Record the computer times and print them for above running as well.
5. Plot the values of counted steps and computer times in a chart and connect them in curves by using Excel or other graph software.
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