Find the complexity of the following blocks of code or algorithm’s description. [Note: your answer must show the steps that lead to your final answer]  1) The algorithm solves the problem of size n by recursively solving subproblems of size n – 1, and then combining the solutions in constant time. 2) The algorithm solves the problem by breaking it into 16 subproblems of 1/4 the scale, recursively solving each submaze, and then combining the solutions in linear time 3) The algorithm solves the problem of size n by dividing it into 32 subproblems of size n/2, recursively solving each sub-problem, and then combining the solutions in O(n5 ) time

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
Chapter1: Introduction
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Find the complexity of the following blocks of code or algorithm’s description.
[Note: your answer must show the steps that lead to your final answer] 
1) The algorithm solves the problem of
size n by recursively solving subproblems of size n – 1, and then
combining the solutions in constant
time.
2) The algorithm solves the problem
by breaking it into 16 subproblems of 1/4 the scale,
recursively solving each submaze, and then combining the
solutions in linear time
3) The algorithm solves the problem of
size n by dividing it into 32 subproblems of size n/2, recursively
solving each sub-problem, and then
combining the solutions in O(n5
)
time

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