Given n> 1, a sequence of n integers a[]. ., a[n-1] is unimodal if there exists t (with 0st a[t+1] >...> a[n-1] The element aſt] 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 getTopIndex_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.

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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Language: Python 3
Autocomplete Ready O
1 v unimodel_sequence = input().split(" ")
unimodel_sequence = [int(i) for i in unimodel_sequence]
1. Unimodal Sequence
3
def getTopIndex_UnimodelSequence (unimodel_sequence):
Given n2 1, a sequence of n integers a[0]..., a[n-1] is unimodal if there exists t
(with 0st<n) that satisfies the following conditions:
• a[0] s...< a[t-1] < a[t]
• alt] > a[t+1]>...> a[n-1]
5
pass
6
print(getTopIndex_UnimodelSequence (unimodel_sequence))
7
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 getToplndex_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.
Transcribed Image Text:Language: Python 3 Autocomplete Ready O 1 v unimodel_sequence = input().split(" ") unimodel_sequence = [int(i) for i in unimodel_sequence] 1. Unimodal Sequence 3 def getTopIndex_UnimodelSequence (unimodel_sequence): Given n2 1, a sequence of n integers a[0]..., a[n-1] is unimodal if there exists t (with 0st<n) that satisfies the following conditions: • a[0] s...< a[t-1] < a[t] • alt] > a[t+1]>...> a[n-1] 5 pass 6 print(getTopIndex_UnimodelSequence (unimodel_sequence)) 7 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 getToplndex_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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