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The classic version weights deeper integers more heavily, so I started going down that path before re-reading the prompt.
First, clarify the problem and edge cases, then explain a two-pass approach: compute the maximum depth, then recursively traverse the nested list, summing each integer multiplied by (maxDepth - currentDepth). Discuss time and space complexity, and consider iterative alternatives if recursion depth is a concern.
Pro tip: Mention that you can combine depth calculation and weighted sum in a single traversal by first finding the maximum depth, then doing a second pass—or use a post-order traversal that returns both depth and sum to avoid two passes. This shows you optimize for efficiency without sacrificing clarity.
Ask about input size, nesting depth limits, and whether the list can contain non-integer elements. Confirm the weight formula: weight = maxDepth - currentDepth.
Decide between two-pass (find max depth, then sum) or one-pass (post-order traversal returning depth and sum). Explain trade-offs in time, space, and code complexity.
Describe the recursive function: for each element, if integer, add value * (maxDepth - depth); if list, recurse with depth+1. For one-pass, return (maxDepth, weightedSum) from each call.
State time O(n) and space O(d) for recursion, where n is total elements and d is max depth. Discuss empty list, single integer, deeply nested lists, and negative numbers.
Walk through a small example like [1,[4,[6]]] to verify the logic. If time permits, mention iterative BFS/DFS with stack to avoid recursion limits.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.