Lec5 - Click to edit Master subtitle style Sundar B Sorting Comparative Review Sorting by Insertion and Merging Analysis QuickSort A

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Unformatted text preview: Click to edit Master subtitle style 2/7/11 Sundar B. Sorting Comparative Review: Sorting by Insertion and Merging Analysis QuickSort- A Divide-and-Conquer Algorithm- Best and Worst cases- Analysis 11 2/7/11 Sundar B. 2/7/11 Sundar B. Complexity of Sorting Algorithms Insertion Sorting: Time taken for sorting N elements: Time taken for sorting N-1 elements + Time taken for inserting 1 element into sorted list Time taken for inserting 1 element into sorted list: For finding the position (say the element is in Kth position): K For shifting the rest of the elements: N-K 2/7/11 22 Sundar B. 2/7/11 Sundar B. Note on Notation Notation: (lower bound – asymptotic lower bound) Ω(f(N)) = { g(n) | there exists +ve consts. c1 and n0 s.t. c1*f(N) <= g(n) for all n>n0 } Notation: (tight bound – asymptotic upper and lower bound) Ѳ(f(N)) = { g(n) | there exist +ve consts....
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This note was uploaded on 02/07/2011 for the course CS 123 taught by Professor Murali during the Spring '11 term at Birla Institute of Technology & Science, Pilani - Hyderabad.

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Lec5 - Click to edit Master subtitle style Sundar B Sorting Comparative Review Sorting by Insertion and Merging Analysis QuickSort A

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