Maximum Product Subarray
Medium
Array
Dynamic Programming
Given an integer array `nums`, find a subarray 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.
Example 1
Input: nums = [2,3,-2,4]
Output: 6
Example 2
Input: nums = [-2,0,-1]
Output: 0

Constraints

  • 1 <= nums.length <= 2 * 10⁴
  • -10 <= nums[i] <= 10
  • The product of any subarray of nums is guaranteed to fit in a 32-bit integer.
Time Complexity
O(n)
Space Complexity
O(1)
14
Case 1
Input: [2,3,-2,4]
Expected: 6
Case 2
Input: [-2,0,-1]
Expected: 0
Case 3
Input: [-2,3,-4]
Expected: 24