Compute nested depth-weighted sum
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This question evaluates understanding of tree-like nested data structures, traversal strategies (recursive DFS and iterative approaches), handling of edge cases such as empty lists and negative integers, and algorithmic reasoning about time and space complexity within the Coding & Algorithms domain.
You are given a nested structure containing integers and lists (e.g., [1, [4, [6]]]). Define depth of the top-level as 1. Compute the total sum of all integers multiplied by their depth. Handle empty lists, large depth, and negative integers. Provide both recursive (DFS) and iterative (BFS/stack) approaches, analyze time and space complexity, and discuss how you would design the interface for accessing nested elements.
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