What is this asking for?

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Now let B(n) be the time it takes to sort n elements for bubbleSort. Let Q(n) be the time it takes for quickSort to sort n elements. Let M(n) be the time it takes for mergeSort. to sort n elements . In a Word document or in a text file, create a table of the following data which your program(s) will produce using the functions you developed in 1) 2) 3) and 4).

n      B(n)   B(n)/n^2 ......... etc i just need to know what this is asking for
1000                        
2000                        
4000                        
8000                        
16000                       

one question what is B(n) asking for in this ? I already finish coding and it shows me number of comparison and number of swaps. Do i need a stop watch to time it or something?!?!

I just dont get what it is asking for

For what I understand the question asks you to state how many operations would the algorithms need to perform for each of the input sets.

For example, if insertion sort is O(n^2), you'd have

 n     O(n^2)    ...
1000  1000000
2000  2000000
4000  4000000
.
.
.

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You could implement a stopwatch, using time related functions.

However, from my experience, such homework assignments usually ask for number of comparisons and not actual time. Actual time will vary from Environment to Environment.

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"using the functions you developed in 1) 2) 3) and 4)"

you must have very precise definitions of B(n) if you developed them in 1, 2, 3, 4 -- use those rather than those suggested here. they should look like polynomials over n with integer coefficients and powers.

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If you're after a good grade:

Your homework mentions a program you have created, presumably that implements the algorithms you listed. Add some timing code that prints system ticks before and after performing a sort with 1000,2000,4000,8000,16000 items. Then subtract the difference, and put the time taken into your answer table.

Then do what the other guys say, and create a new answer table with the theoretical "Big O" answers.

Ideally you'd overlay both as a graph to highlight the difference between theory and your implementation.

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Comments
  • From your question, B(n) is the time it takes to sort n elements using bubble sort which is O(n^2). But I don't understand the second part of your question, please provide more detail.
  • it it is like a chart it want me to fill in B(n) and then B(n)/n^2 so what do i put in for B(n)?? i know n^2 for the first one is 1000^2
  • You need to look up the running time of each of those sorting methods... en.wikipedia.org/wiki/Big_O_notation
  • oh i figure it out that crazy teacher actually want us to FIND the RUNNING time on my computer. Ty for the help!
  • i got it ty for help! need to use QueryPerformanceFrequency(&frequency); QueryPerformanceCounter(&t1); to find time since quick and merge sort are too fast for s