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Design and Analysis of algorithms: Assume that ALG1 solves a problem with worst-case running time (n2 ). We design a new algorithm ALG2 using divide-and-conquer
Design and Analysis of algorithms:
Assume that ALG1 solves a problem with worst-case running time (n2 ). We design a new algorithm ALG2 using divide-and-conquer as follows. ALG2 divides each problem of size n into 2 subproblems of size n/2 each. The divide time is (n) and the combine time is (n).
What is the running time of the ALG2?
Which algorithm is more efficient, ALG1 or ALG2?
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