Maximum Product Subarray
Understand how to solve the maximum product subarray problem by applying dynamic programming concepts. Explore problem constraints and implement solutions that handle positive and negative numbers efficiently while optimizing performance.
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Statement
Given an integer array, nums, find a subarray that has the largest product, and return the product.
Constraints:
nums.lengthnums[i]The product of any prefix or suffix of
numsis guaranteed to fit in ainteger.
Example
Understand the problem
Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:
Maximum Product Subarray
Given the following array, what is the maximum product we can obtain from a subarray?
nums = [1, 2, 3, 0, 4]
4
6
8
2
Figure it out
We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.
Try it yourself
Implement your solution in the following coding playground.
Need a nudge?
Explore these hints—each one is designed to guide you a step closer to the solution.
import java.util.*;public class MaxProduct{public static int maxProduct(int [] nums) {// Replace this placeholder return statement with your codereturn -1;}}