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Compare the recursive DFS approach with the iterative DFS using a stack for summing root-to-leaf numbers. When is the iterative approach preferable over recursion?

hard⚖️ Approach Comparison Q8 of Q15
Tree: Depth-First Search - Sum Root to Leaf Numbers
Compare the recursive DFS approach with the iterative DFS using a stack for summing root-to-leaf numbers. When is the iterative approach preferable over recursion?
AWhen the tree is extremely deep and recursion may cause stack overflow.
BWhen the tree has many duplicate values requiring memoization.
CWhen the tree is very shallow and recursion overhead is negligible.
DWhen the tree is balanced and recursion is simpler to implement.
Step-by-Step Solution
Solution:
  1. Step 1: Understand recursion vs iteration trade-offs

    Recursive DFS is simpler but risks stack overflow on deep trees.
  2. Step 2: Identify when iterative approach is preferable

    Iterative DFS avoids recursion stack overflow by using an explicit stack.
  3. Step 3: Match option to scenario

    When the tree is extremely deep and recursion may cause stack overflow is the correct scenario to prefer iterative DFS.
  4. Final Answer:

    Option A -> Option A
  5. Quick Check:

    Iterative DFS prevents stack overflow on deep trees [OK]
Quick Trick: Iterative DFS avoids recursion stack overflow [OK]
Common Mistakes:
MISTAKES
  • Assuming recursion always better
  • Ignoring stack overflow risks
Trap Explanation:
PITFALL
  • Candidates often think recursion is always simpler without considering stack overflow.
Interviewer Note:
CONTEXT
  • Tests understanding of approach trade-offs and when to prefer iteration.
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