← Molocoads Interview Insights
The key insight is that you're basically looking for how far left and right you can walk from i before hitting something strictly larger.
For each index i, the maximum subarray containing i with maximum exactly nums[i] is bounded by the nearest greater elements to the left and right. Use a monotonic stack to compute these boundaries in O(n) time, then the length is right_boundary - left_boundary - 1.
Pro tip: Clarify how to handle duplicates: if there are equal elements, define boundaries to avoid double-counting, e.g., use strict greater on one side and greater-or-equal on the other.
Restate the problem: for each i, find the longest contiguous subarray that includes i and whose maximum is exactly nums[i]. Note that any element greater than nums[i] cannot be in the subarray.
The subarray must be bounded by the nearest elements greater than nums[i] on the left and right. If no such element exists, the boundary is -1 or n.
Use a monotonic decreasing stack to find the previous greater element and next greater element for each index in O(n) time.
For each i, the maximum length is (next_greater_index - prev_greater_index - 1). Collect these lengths into the result array.
If there are equal elements, decide on a consistent rule (e.g., previous greater-or-equal and next strictly greater) to ensure each subarray is counted exactly once.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
First, clarify the original problem and solution (e.g., maximum subarray sum). Then, explain that for a circular array, the maximum subarray can either be non-wrapping (original solution) or wrapping (total sum minus the minimum subarray sum). Finally, handle edge cases like all negative numbers.
Pro tip: Mention that the wrapping case is equivalent to finding the minimum subarray sum and subtracting it from the total sum, but be careful when all numbers are negative—then the maximum subarray is the non-wrapping one.
Briefly summarize the original problem (e.g., maximum subarray sum) and the approach used (e.g., Kadane's algorithm). This sets the context for the modification.
Explain that the maximum subarray can either not wrap around (handled by the original solution) or wrap around (which means it consists of a suffix and a prefix).
Show that the wrapping case is equivalent to total sum minus the minimum subarray sum (non-circular). This is because the elements not in the maximum wrapping subarray form a contiguous minimum subarray.
If all numbers are negative, the minimum subarray sum equals the total sum, leading to an empty subarray for the wrapping case. In that case, return the non-wrapping maximum (which is the least negative number).
The final answer is the maximum of the non-wrapping and wrapping cases. Time complexity remains O(n) with two passes (one for max subarray, one for min subarray), and space O(1).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.