Went with a right-to-left scan, tracking the max height seen so far.
Clarify the problem and edge cases, then propose an O(n) solution by scanning from right to left while keeping track of the maximum height seen so far. Explain that a house has an ocean view if its height is strictly greater than the current maximum, then update the maximum.
Pro tip: Mention that the indices can be returned in any order, but if sorted order is required, you can reverse the result at the end. Also, discuss how the solution handles duplicates and edge cases like empty arrays.
Ask clarifying questions to ensure you understand the definition of 'ocean view' and the expected output format. Confirm whether indices should be sorted and how to handle edge cases.
Acknowledge that a naive O(n^2) solution exists by checking each house against all to its right, but note it's inefficient for large inputs.
Explain the O(n) right-to-left scan: maintain the maximum height seen so far and collect indices where the current height exceeds this maximum.
Trace the algorithm on a sample array to demonstrate correctness and show how the maximum updates.
State time and space complexity, and discuss handling of empty arrays, single-element arrays, and duplicates.
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