Greedy Algorithms - Largest Number (Arrange to Form Biggest)
What is the space complexity of the optimal largest number solution that converts integers to strings and sorts them with a custom comparator?
What is the space complexity of the optimal largest number solution that converts integers to strings and sorts them with a custom comparator?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Converting integers to strings requires O(n * k) space
Each number converted to string of length up to k.Step 2: Sorting uses recursion stack of depth O(log n)
Recursion stack space is O(log n), but strings dominate space.Final Answer:
Option B -> Option BQuick Check:
String storage dominates space complexity, recursion stack is smaller [OK]
Quick Trick: String storage dominates space complexity [OK]
Common Mistakes:
MISTAKES- Ignoring string storage space or recursion stack
Trap Explanation:
PITFALL- Candidates often confuse auxiliary space with input storage.
Interviewer Note:
CONTEXT- Tests understanding of auxiliary space beyond input storage.
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