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14. What is the worst case time complexity for the following Python fragment? Assume work (n) is a function whose worst case time complexity is O(n²). i = 1 while i < n: j = 0 while j

14. What is the worst case time complexity for the following Python fragment? Assume work (n) is a function whose worst case time complexity is O(n²). i = 1 while i < n: j = 0 while j

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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14. What is the worst case time complexity for the following Python fragment? Assume work (n) is a function whose worst case time complexity is O(n²). i = 1 while i < n: j = 0 while j <n/2: work (n) i = j = j + 1 i * 2 A. O(nlogn) B. O(n³) C. O(n³logn) D. O(n) E. O(nlogn) 15. We have two algorithms that perform the same task. The first has O(logn) worst case time complexity and second has O(n) worst case time complexity. This means that the first algorithm will always run faster than the second algorithm. A. TRUE B. FALSE 16. Recursive algorithms have O(1) time complexity because they don't contain loops. A. TRUE B. FALSE
Transcribed Image Text:14. What is the worst case time complexity for the following Python fragment? Assume work (n) is a function whose worst case time complexity is O(n²). i = 1 while i < n: j = 0 while j <n/2: work (n) i = j = j + 1 i * 2 A. O(nlogn) B. O(n³) C. O(n³logn) D. O(n) E. O(nlogn) 15. We have two algorithms that perform the same task. The first has O(logn) worst case time complexity and second has O(n) worst case time complexity. This means that the first algorithm will always run faster than the second algorithm. A. TRUE B. FALSE 16. Recursive algorithms have O(1) time complexity because they don't contain loops. A. TRUE B. FALSE
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