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CS 280 Data Structures Professor John Peterson
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Programming Let’s look at my code. This will be available in the wiki. There is a short assignment due on Friday – add more sort methods to your program (selection and bubble)
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Properties of Sort Algorithms Size of algorithm Performance on small datasets Performance on large datasets Nearly sorted inputs (best case?) Stability – can the order of elements with equal keys change? Memory usage – do you need more than a constant amount beyond the array? Online – can the algorithm do anything before all data is available?
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Insertion Sort Properties What properties are of interest here? insertionSort(array A) for i <- 1 to length[A]-1 do value <- A[i] j <- i-1 while j >= 0 and A[j] > value do A[j + 1] = A[j]; j <- j-1 A[j+1] <- value t
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Other Properties From Wikipedia: Efficient on (quite) small data sets Efficient on data sets which are already substantially sorted: it runs in O(n + d) time, where d is the number of inversionsinversions More efficient in practice than most other simple O(n 2 ) algorithms such as selection sort or bubble sort: the average time is n 2 /4 and it is linear in the best caseOselection sortbubble sort Stable (does not change the relative order of elements with equal keys)Stable In-place (only requires a constant amount O(1) of extra memory space)In-place It is an online algorithm, in that it can sort a list as it receives it.online algorithm
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