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Grokking the Coding Interview Patterns in Python

Maximum Product Subarray

Explore how to solve the maximum product subarray problem using dynamic programming techniques. Learn to analyze problem constraints, develop clear solutions, and implement them effectively to prepare for coding interviews.

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Statement

Given an integer array, nums, find a subarray that has the largest product, and return the product.

Constraints:

  • 1≤1\leqnums.length ≤103\leq 10^3

  • −10≤-10\leqnums[i] ≤10\leq 10

  • The product of any prefix or suffix of nums is guaranteed to fit in a 32−bit32-bit integer.

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

1.

Given the following array, what is the maximum product we can obtain from a subarray?

nums = [1, 2, 3, 0, 4]

A.

4

B.

6

C.

8

D.

2

1 / 3

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.

Sequence - Vertical
Drag and drop the cards to rearrange them in the correct sequence.
1
2
3
4
5

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.

Python
usercode > main.py
def max_product(nums):



    # Replace this placeholder return statement with your code

    return -1
Maximum Product Subarray