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If a tree node can have any number of children (not limited to two), how should the BFS-based maximum depth algorithm be adapted to correctly compute the tree's maximum depth?

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Tree: Depth-First Search - Maximum Depth of Binary Tree
If a tree node can have any number of children (not limited to two), how should the BFS-based maximum depth algorithm be adapted to correctly compute the tree's maximum depth?
ALimit BFS to only two children per node to maintain binary structure
BModify the BFS to enqueue all children of a node regardless of count at each level
CSwitch to DFS since BFS cannot handle arbitrary children
DUse a stack instead of a queue to process nodes
Step-by-Step Solution
Solution:

  1. Step 1: Understand BFS for binary trees

    BFS enqueues left and right children at each level.

  2. Step 2: Adapt for arbitrary children

    Instead of two children, enqueue all children nodes in the queue.

  3. Step 3: Maintain level tracking

    Process nodes level by level, incrementing depth after each level.

  4. Final Answer:

    Option B -> Option B

  5. Quick Check:

    Queue all children at each level [OK]
Quick Trick: Enqueue all children nodes to handle arbitrary branching [OK]
Common Mistakes:
MISTAKES
  • Restricting BFS to two children only
  • Assuming BFS cannot handle non-binary trees
  • Switching to DFS unnecessarily
  • Using stack instead of queue for BFS
Trap Explanation:
PITFALL
  • Limiting BFS to two children ignores arbitrary branching, causing incorrect depth.
Interviewer Note:
CONTEXT
  • Tests ability to generalize BFS for trees with variable number of children.
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