For the findPeaklndex problem, you are given an input array of integers that follow a particular pattern: it is composed of a sequence of increasing values followed by a sequence of decreasing values (all values in the array are distinct). For example, the input array could be int[] numbers = {1, 3, 5, 7, 9, 11, 8, 6, 4} The "peak" value of this array is 11. The findPeaklndex method is supposed to return the index of the peak value, therefore it should be return 5 for the above example because numbers[5] is the peak value 11. It is possible that the input array is monotonically decreasing or increasing, in which cases the peak indices should be 0 or numbers.length-1, accordingly. Read the test cases in the JUnit tester file for more detailed specification. The implemtation of the findPeaklndex method utilizes a helper method findPeaklndexHelper. Your job is to complete the helper method, and you should NOT modify the findPeaklndex method since its code already given. In general, when implementing a recursive method with a required signature, it is an often a useful technique to consider using a helper method that can take more input parameters or return more information in the return value. Note: You should try to make your solution is as efficient as possible. To achieve this, you need to take advantage of the the increasing-then-decreasing pattern in the input array. You should aim at solving the problem in log(n) steps given an input array of size n.
For the findPeaklndex problem, you are given an input array of integers that follow a particular pattern: it is composed of a sequence of increasing values followed by a sequence of decreasing values (all values in the array are distinct). For example, the input array could be int[] numbers = {1, 3, 5, 7, 9, 11, 8, 6, 4} The "peak" value of this array is 11. The findPeaklndex method is supposed to return the index of the peak value, therefore it should be return 5 for the above example because numbers[5] is the peak value 11. It is possible that the input array is monotonically decreasing or increasing, in which cases the peak indices should be 0 or numbers.length-1, accordingly. Read the test cases in the JUnit tester file for more detailed specification. The implemtation of the findPeaklndex method utilizes a helper method findPeaklndexHelper. Your job is to complete the helper method, and you should NOT modify the findPeaklndex method since its code already given. In general, when implementing a recursive method with a required signature, it is an often a useful technique to consider using a helper method that can take more input parameters or return more information in the return value. Note: You should try to make your solution is as efficient as possible. To achieve this, you need to take advantage of the the increasing-then-decreasing pattern in the input array. You should aim at solving the problem in log(n) steps given an input array of size n.
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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Question
Please use Java for the solution
![/**
* Given an array of numbers that follow an increasing-then-decreasing order
* (including the cases of only-increasing and only-decreasing),
* return the index of the peak (maximum) element.
* Assumption:
All numbers in the input array are distinct.
The input array is non-empty.
* Read the JUnit test cases for detailed specification.
*/
public static int findPeakIndex(int[] numbers) {
// Do NOT modify this method. Implement the helper method instead.
return findPeakIndexHelper(numbers, startindex: 0, endlndex: numbers.length-1);
/**
* Helper method for findPeakIndex
*/
public static int findPeakIndexHelper(int[] numbers, int startIndex, int endIndex) {
// TODO Task 3: Complete this recursive method.
}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4575c695-56bc-4a6a-843f-ec886ca258f2%2Fc0b3abd6-fac8-429f-bb68-7c2fcf459b93%2Fstint1k_processed.png&w=3840&q=75)
Transcribed Image Text:/**
* Given an array of numbers that follow an increasing-then-decreasing order
* (including the cases of only-increasing and only-decreasing),
* return the index of the peak (maximum) element.
* Assumption:
All numbers in the input array are distinct.
The input array is non-empty.
* Read the JUnit test cases for detailed specification.
*/
public static int findPeakIndex(int[] numbers) {
// Do NOT modify this method. Implement the helper method instead.
return findPeakIndexHelper(numbers, startindex: 0, endlndex: numbers.length-1);
/**
* Helper method for findPeakIndex
*/
public static int findPeakIndexHelper(int[] numbers, int startIndex, int endIndex) {
// TODO Task 3: Complete this recursive method.
}
![For the findPeaklndex problem, you are given an input array of integers that follow a particular
pattern: it is composed of a sequence of increasing values followed by a sequence of decreasing
values (all values in the array are distinct). For example, the input array could be
int[] numbers = {1, 3, 5, 7, 9, 11, 8, 6, 4}
The "peak" value of this array is 11. The findPeaklndex method is supposed to return the index
of the peak value, therefore it should be return 5 for the above example because numbers[5] is
the peak value 11.
It is possible that the input array is monotonically decreasing or increasing, in which cases the
peak indices should be 0 or numbers.length-1, accordingly. Read the test cases in the JUnit tester
file for more detailed specification.
The implemtation of the findPeaklndex method utilizes a helper method findPeaklndexHelper.
Your job is to complete the helper method, and you should NOT modify the findPeaklndex
method since its code already given. In general, when implementing a recursive method with a
required signature, it is an often a useful technique to consider using a helper method that can
take more input parameters or return more information in the return value.
Note: You should try to make your solution is as efficient as possible. To achieve this, you need
to take advantage of the the increasing-then-decreasing pattern in the input array. You should
aim at solving the problem in log(n) steps given an input array of size n.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4575c695-56bc-4a6a-843f-ec886ca258f2%2Fc0b3abd6-fac8-429f-bb68-7c2fcf459b93%2Frwe1avb_processed.png&w=3840&q=75)
Transcribed Image Text:For the findPeaklndex problem, you are given an input array of integers that follow a particular
pattern: it is composed of a sequence of increasing values followed by a sequence of decreasing
values (all values in the array are distinct). For example, the input array could be
int[] numbers = {1, 3, 5, 7, 9, 11, 8, 6, 4}
The "peak" value of this array is 11. The findPeaklndex method is supposed to return the index
of the peak value, therefore it should be return 5 for the above example because numbers[5] is
the peak value 11.
It is possible that the input array is monotonically decreasing or increasing, in which cases the
peak indices should be 0 or numbers.length-1, accordingly. Read the test cases in the JUnit tester
file for more detailed specification.
The implemtation of the findPeaklndex method utilizes a helper method findPeaklndexHelper.
Your job is to complete the helper method, and you should NOT modify the findPeaklndex
method since its code already given. In general, when implementing a recursive method with a
required signature, it is an often a useful technique to consider using a helper method that can
take more input parameters or return more information in the return value.
Note: You should try to make your solution is as efficient as possible. To achieve this, you need
to take advantage of the the increasing-then-decreasing pattern in the input array. You should
aim at solving the problem in log(n) steps given an input array of size n.
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