Maximum Product Subarray

Statement

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

Constraints:

• $1\leq$nums.length $\leq 10^3$

• $-10 \leq$nums[i] $\leq 10$

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

Example