← Walmart Labs Interview Insights
My first instinct was to just simulate it day by day with a loop, which works fine for small inputs but blows up at n=1e5.
Clarify the problem and constraints, then propose an efficient O(n) solution using a monotonic stack to track the number of days each plant survives. Walk through a concrete example to validate the approach, and discuss time/space complexity and edge cases.
Pro tip: Emphasize that the process is equivalent to finding the maximum number of consecutive 'drops' in the array, and that a stack-based solution avoids simulating each day, which would be O(n^2) in the worst case.
Restate the problem in your own words and confirm details: plants are removed simultaneously each day if their pesticide level is strictly greater than the plant to their left. The goal is to find the number of days until no more removals occur.
Discuss a brute-force simulation that scans the array each day, noting its O(n^2) worst-case time. Then introduce the idea of using a monotonic stack to compute the survival days for each plant in a single pass.
Iterate through the array, maintaining a stack of pairs (pesticide level, days survived). For each plant, pop elements greater than or equal to the current level, tracking the maximum days among popped elements. The current plant's survival days is that maximum plus one (if any element was popped), otherwise zero. Push the current plant and update the global maximum days.
Test the algorithm on small arrays (e.g., [3,2,1], [1,2,3], [5,3,4,2,1]) to ensure correctness. Consider edge cases: strictly increasing array (all plants except first die on day 1), strictly decreasing array (no plants die), and arrays with duplicates.
State that the stack approach runs in O(n) time and O(n) space, which is optimal. Contrast with the O(n^2) simulation, and mention that if the array is very large, the stack method is preferred despite the extra space.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.