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Copy path152_medium_[sense]_maximum_product_subarray.py
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152_medium_[sense]_maximum_product_subarray.py
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from typing import List
class Solution:
def maxProduct(self, nums: List[int]) -> int:
def get_max_subarray_product(start: int, end: int) -> int:
if start > end:
return 0
if start == end:
return nums[start]
total_product = 1
for i in range(start, end+1):
total_product *= nums[i]
if total_product > 0:
return total_product
product_until_first_minus = 1
for i in range(start, end+1):
product_until_first_minus *= nums[i]
if nums[i] < 0:
break
proudct_until_first_minus_backward = 1
for i in reversed(range(start, end+1)):
proudct_until_first_minus_backward *= nums[i]
if nums[i] < 0:
break
return int(max(
total_product / product_until_first_minus,
total_product / proudct_until_first_minus_backward
))
start, end = 0, 0
nums_length = len(nums)
max_subarray_product = nums[start]
while end <= nums_length:
if end == nums_length or nums[end] == 0:
max_subarray_product_candidate = get_max_subarray_product(start, end-1)
max_subarray_product = max(max_subarray_product, max_subarray_product_candidate)
if end == nums_length:
break
max_subarray_product = max(max_subarray_product, 0)
start, end = end+1, end+1
else:
end += 1
return max_subarray_product
if __name__ == '__main__':
print(Solution().maxProduct([2, 3, -2, 4]))
print(Solution().maxProduct([0]))
print(Solution().maxProduct([0, 0]))
print(Solution().maxProduct([0, 0, 0, 1]))
print(Solution().maxProduct([-2, 0, -1]))