**All Information in the approach is located in an attachment **

**Evaluating efficiency**

**Requirements:** Compare the efficiency of Selection Sort and Insertion Sort.

**Approach:** For doing this, you should evaluate their corresponding implementations (their code is available under > Module 6: Sorting and Hashing -> I Simple Sorts -> C Selection Sort and D Insertion Sort) in at least one case (*best*, *worst*, or *average*) and count the number of type of operations performed (assignments, comparisons, and overall, separately). For counting them, you need to add in the right place specific statements to increment the counters for assignments and/or comparisons, wherever needed.

Draw charts to show how the running time (estimated in numbers of assignments *A(n), *comparisons *C(n), *and overall time* T(n)=A(n) + C(n)*) grows as the size of the input data *n* is growing. To draw the charts, vary the input size (*n*) between 100 and 1000, with an increment of maximum 100. For each size, generate the appropriate input sequence (*best*, *worst*, or *average*)for the specific sorting method (be aware: best/worst cases are not necessary the same for the two methods), run it, and store the values (*A(n)*, *C(n)*, * T(n)*).

In case the *average* case is your choice, you have to repeat the measurements m times (m=5 should suffice) and report their average. Moreover, for the average case, make sure you **always** use the **same** input sequence for **both** sorting methods for a fair comparison.

For the analyzed case(s), generate charts which compare the two methods; use different charts for the number of comparisons, number of assignments and total number of operations. Name your charts and curves on each chart appropriately (that is, specify what the chart/curve represents).

**Deliverables**: You should submit (1) all the source (.java) files, (2) an output sample (screenshot showing program execution and the results of your testing, to show the methods are actually sorting) (3) the diagrams (the easiest way to draw them is by using Microsoft Excel Worksheet) and (4) a document file describing your solution. The solution description document should include the following elements: justification for the added statements (to ones that increment the counters), interpretation of the diagrams and lessons learned. The size of the document should be of 1-2 pages, single spaced, font size 12. All solution description elements should be properly formatted using APA style.

Wrap all the files in a single .zip archive and name it Hw2_”yourname”.zip.

Subject | Computer |

Due By (Pacific Time) | 02/01/2015 04:00 am |

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