Maximum product contiguous subarray

I have come up with the following solution to find the maximum product for a contiguous sub-array:

def maxProduct(nums):

max_prod = [0]*len(nums)
min_prod = [0]*len(nums)
for i in range(0, len(nums)):
min_prod[i] = min(nums[i], min_prod[i-1]*nums[i], max_prod[i-1]*nums[i])
max_prod[i] = max(nums[i], min_prod[i-1]*nums[i], max_prod[i-1]*nums[i])

return max(max_prod)


Current solution is O(n) in space, trying to find O(1) solution for space, but I keep seem to missing it. Ideas?

1. Follow PEP8 style guide for variable and function naming convention. Both the variables and function names should have snake_case names.
2. You can use enumerate to get index and value while iterating a list.
For constant space solution, instead of using a list to keep track of current max and min products, use a variable for both positive product and negative product. If the current number is $$\ 0 \$$, reset them both to $$\ 1 \$$ (They should be initialised as $$\ 1 \$$ as well). At the end of for-loop (inside the loop), keep updating your current_max value to keep track of max product encountered so far.