225_20_sort_LB - SupposebeginMaxisusedtofindthemaximumfora...

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1 Suppose beginMax is used to find the maximum for a  MaxSort algorithm.  Prove that the time complexity of this algorithm is in  θ  (n 2 ). Recall: the time for beginMax is given by the  recurrence: T(n) = 1 + T(n-1), T(1)=1  whose solution is in  θ  (n).
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2 In 1999, the CSC 225 students programmed various  sorting algorithms in C and timed them on various  inputs. This is where the following plots came from. Actual Running Times of Some  Sorting Algorithms 
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3
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4 Binary Tree  Sort Random Inputs
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5 Sorted  Inputs
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6 Building the heap- which algorithm is  this?
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7 Dynamic Performance of Heapsort
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8 MaxSort From: [LW95] Kenneth Lambert and Thomas Whaley, An Invitation to Computer Science Laboratory  Manual, West Publishing Company, 1995. Conference, 12:5 (1997) 57—70.
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9 Quicksort
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10 Mergesort
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11 A Lower Bound on  the Worst Case  Complexity for  Sorting http://users.informatik.uni-halle.de/~jopsi/dinf204/notes_full.shtml
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This note was uploaded on 01/15/2012 for the course CSC 225 taught by Professor Valerieking during the Spring '10 term at University of Victoria.

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225_20_sort_LB - SupposebeginMaxisusedtofindthemaximumfora...

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