Binary search is asymptotically better than linear search Asymptotic Algorithm

Binary search is asymptotically better than linear

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Binary search is asymptotically better than linear search Asymptotic Algorithm Analysis Complexity Analysis: Growth of Functions 31 CSCI2100C Data Structures How to Count Basic Operations in Recursion? Complexity Analysis: Growth of Functions 32 if left = right if arr[left]= searchnum return left else return 1 middle (left + right)/2 if arr[middle] = searchnum return middle elseif arr[middle] < searchnum return BinarySearch (arr, searchnum, middle+1, right) else return BinarySearch (arr, searchnum, left, middle 1) 1 2 3 4 5 6 7 8 9 10 11 12 13 BinarySearch(arr, searchnum, left, right) 𝑂ሺ 1 𝑂ሺ 1 𝑂ሺ 1 𝑂ሺ 1 𝑂ሺ 1 𝑂ሺ 1 𝑂ሺ 1 𝑂ሺ 1 𝑂ሺ 1 𝑂ሺ ? 𝑂ሺ ? CSCI2100C Data Structures Worst case analysis of algorithms Counting the # of basic operations in the worst case Big-Oh & Big-Omega notation Big-Oh & Big-Omega rules (i)-(v) Asymptotical algorithm comparison Summary Complexity Analysis: Growth of Functions 33 CSCI2100C Data Structures Reading this week Chapter 3, textbook Next week Complexity Analysis: Growth of Functions with recursions Recommended Reading Complexity Analysis: Growth of Functions 34
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