3. Unimodal Sequence Given n2 1, a sequence of n integers a[0],… . , a[n-1] is unimodal if there exists t (with 0 st a[t+1] > . . > a[n=1] The element a[t] is called the top of the sequence.
3. Unimodal Sequence Given n2 1, a sequence of n integers a[0],… . , a[n-1] is unimodal if there exists t (with 0 st a[t+1] > . . > a[n=1] The element a[t] is called the top of the sequence.
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
Section: Chapter Questions
Problem 1PE
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![3. Unimodal Sequence
Given n2 1, a sequence of n integers a[0],. . ., a[n-1] is
unimodal if there exists t (with 0 st<n) that satisfies
the following conditions:
• a[0] <...< a[t-1] < a[t]
a[t] > a[t+1] > . . . > a[n=1]
The element a[t] is called the top of the sequence.
For example, the sequence 1, 3, 5, 9, 4, 1 is unimodal,
and its top is 9 (t = 3).
Write a function
get Toplndex_UnimodelSequence that takes a
unimodal sequence & returns the index of the top of
the sequence. The solution must have cost O(log(n)) in
time in the worst case.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d0126f0-6be4-4a36-9c4c-265a2a7298b8%2Fb8d491e3-98dd-430a-9360-155958300ba5%2Fw5438cm_processed.png&w=3840&q=75)
Transcribed Image Text:3. Unimodal Sequence
Given n2 1, a sequence of n integers a[0],. . ., a[n-1] is
unimodal if there exists t (with 0 st<n) that satisfies
the following conditions:
• a[0] <...< a[t-1] < a[t]
a[t] > a[t+1] > . . . > a[n=1]
The element a[t] is called the top of the sequence.
For example, the sequence 1, 3, 5, 9, 4, 1 is unimodal,
and its top is 9 (t = 3).
Write a function
get Toplndex_UnimodelSequence that takes a
unimodal sequence & returns the index of the top of
the sequence. The solution must have cost O(log(n)) in
time in the worst case.
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