Algorithm A solves an instance of size n by recursively solving eight instances of size n/2, and then combining their solutions in time O(n3). Algorithm B solves an instance of size n by recursively solving twenty instances of size n/3, and then combining their solutions in time O(n2). Algorithm C solves an instance of size n by recursively solving two in- stances of size 2n, and then combining their solutions in time O(n). Which algorithm is preferable, and why?

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Algorithm A solves an instance of size n by recursively solving eight instances of size n/2, and then combining their solutions in time O(n3).

Algorithm B solves an instance of size n by recursively solving twenty instances of size n/3, and then combining their solutions in time O(n2).

Algorithm C solves an instance of size n by recursively solving two in- stances of size 2n, and then combining their solutions in time O(n).

Which algorithm is preferable, and why?

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