Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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A unimodal array is an array that has a sequence of monotonically increasing integers 
followed by a sequence of monotonically decreasing integers, assuming all elements in 
the array are unique. 
Example: 
- A= {4, 5, 8, 9, 10, 11, 7, 3, 2, 1}: 
A is a unimodal array because there is an increasing sequence followed by a 
decreasing sequence and the maximum element is 11.
- B= {11, 9, 8, 7, 5, 4, 3, 2, 1}: B is not a unimodal array because there is no increasing 
sequence It is simply a decreasing sequence and the maximum element is 11.
- C= {1, 2, 3, 4, 5, 7, 8, 9, 11}: C is not a unimodal array because There is an increasing 
sequence, but there is no decreasing sequence and the maximum element is 11.
a) Design an efficient algorithm with the lowest possible complexity to state whether a 
given array is unimodal or not, and explain why your algorithm is efficient. 
b) Analyze the complexity of your algorithm. 

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