Showing posts with label Maximum Product Subarray - Python Leetcode. Show all posts
Showing posts with label Maximum Product Subarray - Python Leetcode. Show all posts

Maximum Product Subarray - Python Leetcode

 Given an integer array nums, find the contiguous subarray within an array (containing at least one number) which has the largest product.

Example 1:

Input: [2,3,-2,4]
Output: 6
Explanation: [2,3] has the largest product 6.

Example 2:

Input: [-2,0,-1]
Output: 0
Explanation: The result cannot be 2, because [-2,-1] is not a subarray.
class Solution:
    def maxProduct(self, nums: List[int]) -> int:
        if not nums:
            return 0
        
        max_so_far = nums[0]
        min_so_far = nums[0]
        result = max_so_far
        
        for i in range(1,len(nums)):
            curr = nums[i]
            temp_value = max(curr,max_so_far*curr,min_so_far*curr)
            min_so_far = min(curr,min_so_far*curr,max_so_far*curr)
            max_so_far = temp_value
            result = max(result,max_so_far)
            
        return result
TC:O(n)
SC:O(1)

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