152. Maximum Product Subarray

Medium

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Given an integer array nums, find a contiguous non-empty subarray within the array 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.

A subarray is a contiguous subsequence of the array.

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 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.

class Solution:
    def maxProduct(self, nums: List[int]) -> int:
        maximum = nums[0]
        minimum = nums[0]
        max_of_all = nums[0]
        nums.pop(0)
        for num in nums:
            temp = max(num, num*maximum, num*minimum)
            minimum = min(num , num*maximum, num*minimum)
            maximum = temp
            max_of_all = max(max_of_all, maximum)
        return max_of_all