Product Maximization Problem in Java

There is one of two questions I have face in the Hackathon Delhi in the amazon hiring process.

Problem:

Given an array of integers, which can contain both +ve and -ve numbers, you have to maximize the product of any 3 elements of the array and print that out.

The elements can be non- contiguous. If size of array is less than 3 then answer will be 0.

Input:
Input will consist of two lines. First line will consist of n i.e, size of array. Next line will contain comma separated numbers.

Constraints:
0≤n≤10000

−1290≤A[i]≤1290

Note: Input will always have exact 2 lines. And all correct integers will be provided which will not generate any parse exception. The second line will always have correct number of elements, the count of which is given in first line.

Output:
Print the maximum product. Don’t print the elements.

SAMPLE INPUT
6
-5 -7 4 2 1 9

SAMPLE OUTPUT
315

Explanation
Maximum product is -5 * -7 *9 = 315

Another case:
Input array: 4,5,-19,3
Maximum product is 3 * 4 * 5 = 60

Solution:

package com.dineshonjava.algo;

import java.util.Arrays;
import java.util.Scanner;

public class ProductMaximization {

 private static Scanner sc;

 public static void main(String[] args) {
  sc = new Scanner(System.in);
  int n = sc.nextInt();
  int [] arr = new int [n];
  for(int i = 0; i < n ; i++){
   arr [i] = sc.nextInt();
  }
  productMaximize(n, arr);
 }

 private static void productMaximize(int n, int[] arr) {
  if(n < 3){
   System.out.println(0);
  }else{
   Arrays.sort(arr);
   int max = 0;
   if(arr[0] < 0 && arr[1] < 0){
    if(Math.abs(arr[0]) >= arr[n-1] || Math.abs(arr[0]) >= arr[n-2]){
     max = arr[0]*arr[1]*arr[n-1];
    }else{
     max = arr[n-3]*arr[n-2]*arr[n-1];
    }
   }else{
    max = arr[n-3]*arr[n-2]*arr[n-1];
   }
   System.out.println(max);
  }
 }
}

This program may not be solve all test cases but I have run 10-12 test cases which is running fine. So please suggest anyone if you have another better way to solve this problem.

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Dinesh Rajput

Dinesh Rajput is the chief editor of a website Dineshonjava, a technical blog dedicated to the Spring and Java technologies. It has a series of articles related to Java technologies. Dinesh has been a Spring enthusiast since 2008 and is a Pivotal Certified Spring Professional, an author of a book Spring 5 Design Pattern, and a blogger. He has more than 10 years of experience with different aspects of Spring and Java design and development. His core expertise lies in the latest version of Spring Framework, Spring Boot, Spring Security, creating REST APIs, Microservice Architecture, Reactive Pattern, Spring AOP, Design Patterns, Struts, Hibernate, Web Services, Spring Batch, Cassandra, MongoDB, and Web Application Design and Architecture. He is currently working as a technology manager at a leading product and web development company. He worked as a developer and tech lead at the Bennett, Coleman & Co. Ltd and was the first developer in his previous company, Paytm. Dinesh is passionate about the latest Java technologies and loves to write technical blogs related to it. He is a very active member of the Java and Spring community on different forums. When it comes to the Spring Framework and Java, Dinesh tops the list!

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