Maximum Product Subarray
Explore how to identify the maximum product subarray within a given integer array by applying dynamic programming methods. Understand problem constraints and implement solutions that optimize subarray product calculations using memoization and tabulation strategies.
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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;}}