Leetcode Problem 1856. Maximum Subarray Min-Product

1856. Maximum Subarray Min-Product

Leetcode Solutions

Monotonic Stack and Prefix Sum

  1. Initialize a prefix sum array prefixSum with an additional 0 at the beginning for convenience.
  2. Iterate through the input array nums to fill in the prefixSum array.
  3. Initialize a monotonic increasing stack stack to keep track of indices of elements.
  4. Iterate through the array nums and for each element: a. While the stack is not empty and the current element is less than the element at the index on the top of the stack, pop from the stack. b. Calculate the min-product using the current element as the minimum, with the sum of the subarray from the next smaller element on the left to the current index. c. Update the maximum min-product if the current min-product is greater.
  5. After the loop, pop any remaining elements from the stack and calculate the min-product for the subarray from the next smaller element on the left to the end of the array.
  6. Return the maximum min-product modulo 1e9+7.
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Brute Force with Optimization

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