Suppose you are choosing between the following three algorithms for solving the same problem: 1) Algorithm A solves the problem of size n by dividing it into five sub-problems of size n/2, recursively solves them, and finally combines their solutions in O(n) time. - 2) Algorithm B solves the problem of size n by recursively solving two sub-problems of size n − 1, and then combines their solutions in O(1) time. 3) Algorithm C solves the problem of size n by dividing it into nine sub-problems of size n/3, recursively solves them, and finally combines their solutions in O(n²) time. Which algorithm has the best (in big-Oh notation) running time? ОА B C They all have the same time complexity.
Suppose you are choosing between the following three algorithms for solving the same problem: 1) Algorithm A solves the problem of size n by dividing it into five sub-problems of size n/2, recursively solves them, and finally combines their solutions in O(n) time. - 2) Algorithm B solves the problem of size n by recursively solving two sub-problems of size n − 1, and then combines their solutions in O(1) time. 3) Algorithm C solves the problem of size n by dividing it into nine sub-problems of size n/3, recursively solves them, and finally combines their solutions in O(n²) time. Which algorithm has the best (in big-Oh notation) running time? ОА B C They all have the same time complexity.
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
Problem 17PE
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Transcribed Image Text:Suppose you are choosing between the following three algorithms for solving the same problem:
1) Algorithm A solves the problem of size n by dividing it into five sub-problems of size n/2,
recursively solves them, and finally combines their solutions in O(n) time.
-
2) Algorithm B solves the problem of size n by recursively solving two sub-problems of size n − 1,
and then combines their solutions in O(1) time.
3) Algorithm C solves the problem of size n by dividing it into nine sub-problems of size n/3,
recursively solves them, and finally combines their solutions in O(n²) time.
Which algorithm has the best (in big-Oh notation) running time?
ОА
B
C
They all have the same time complexity.
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