Use the divide-and-conquer approach to write an java algorithm that finds the largest item in a list of n items. Analyze your algorithm and show the results in order notation.

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
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Use the divide-and-conquer approach to write an java algorithm that finds the largest item in a list of n items. Analyze your algorithm and show the results in order notation.

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Step 1: Program Approach

It appears you've provided a Java program that finds the largest item in an array using the divide-and-conquer approach and reads input from the user using a Scanner.

Here's a breakdown of the program:

  1. findLargest method: This method takes an integer array as input and checks if the array is valid. If the array is not valid, it throws an IllegalArgumentException. Otherwise, it calls the findLargestUtil method, passing the array, left index (0), and right index (arr.length - 1).

  2. findLargestUtil method: This method recursively finds the largest element in the given array. It checks for the base case where left index is equal to the right index. If true, it means there is only one element in the array, and it returns that element. Otherwise, it finds the midpoint and recursively calls findLargestUtil on the left and right halves of the array. It returns the maximum of the largest elements from the left and right halves.

  3. main method: This method is used to take input from the user. It uses a Scanner to read an integer n denoting the size of the array. Then, it reads n integers and stores them in the arr array. Finally, it calls the findLargest method with the input array and prints the largest item in the array.

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