Maximum Product Subarray

Medium

Description

Given an integer array nums, find a subarray that has the largest product, and return the product. The test cases are generated so that the answer will fit in a 32-bit integer.

Examples

Input:nums = [2,3,-2,4]
Output:6
Explanation:

[2,3] has the largest product 6.

Input:nums = [-2,0,-1]
Output:0
Explanation:

The result cannot be 2, because [-2,-1] is not a contiguous subarray.

Input:nums = [-2,3,-4]
Output:24
Explanation:

Works with negative numbers.

Constraints

  • 1 ≤ nums.length ≤ 2 × 10⁴
  • -10 ≤ nums[i] ≤ 10

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