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In a trie-based maximum XOR implementation, which of the following bugs can cause incorrect maximum XOR results when inserting numbers into the trie?

medium🐞 Bug Q7 of Q15
Bit Manipulation - Maximum XOR of Two Numbers
In a trie-based maximum XOR implementation, which of the following bugs can cause incorrect maximum XOR results when inserting numbers into the trie?
ANot initializing child nodes for both 0 and 1 bits during insertion
BUsing a hash map instead of a trie for insertion
CSorting the input array before insertion
DUsing recursion instead of iteration for insertion
Step-by-Step Solution
Solution:

  1. Step 1: Understand trie insertion

    Each bit (0 or 1) must have a corresponding child node to represent the binary path.

  2. Step 2: Consequence of missing child nodes

    If child nodes are not created properly, the trie structure is incomplete, leading to incorrect XOR computations.

  3. Step 3: Other options

    Using a hash map or recursion doesn't inherently cause incorrect results; sorting is unrelated.

  4. Final Answer:

    Option A -> Option A

  5. Quick Check:

    Missing child nodes break trie paths [OK]
Quick Trick: Always create child nodes for both bits [OK]
Common Mistakes:
MISTAKES
  • Assuming recursion causes bugs
  • Thinking sorting affects trie correctness
  • Confusing data structures with implementation bugs
Trap Explanation:
PITFALL
  • Other options are unrelated to trie insertion correctness.
Interviewer Note:
CONTEXT
  • Tests ability to identify common implementation bugs in trie-based XOR.
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