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Maximum Product Subarray

MediumDynamic Programmingk-dynamic-programmingLC #152

Problem

Maximum Product Subarray

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

Example 1:

Input: nums = [2,3,-2,4]
Output: 6
Explanation: [2,3] has the largest product 6.

Example 2:

Input: nums = [-2,0,-1]
Output: 0
Explanation: The result cannot be 2, because [-2,-1] is not a contiguous subarray.

Constraints:

  • 1 ≤ nums.length ≤ 2 × 10⁴
  • -10 ≤ nums[i] ≤ 10
  • The product of any prefix or suffix of nums is guaranteed to fit in a 32-bit integer