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What is the auxiliary space complexity of the max heap approach to reorganize a string with k unique characters?

medium🪤 Complexity Trap Q6 of Q15
Greedy Algorithms - Reorganize String (No Two Adjacent Same)
What is the auxiliary space complexity of the max heap approach to reorganize a string with k unique characters?
AO(n)
BO(k + n)
CO(k)
DO(n + k)
Step-by-Step Solution
Solution:
  1. Step 1: Identify space usage

    Heap stores k elements, result array stores n characters, plus frequency map of size k.
  2. Step 2: Sum auxiliary space

    Total auxiliary space is O(k) for heap and freq map plus O(n) for result, combined O(k + n).
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Space includes both heap and output array [OK]
Quick Trick: Space includes heap (k) plus output (n) [OK]
Common Mistakes:
MISTAKES
  • Ignoring output array space
  • Confusing input and auxiliary space
  • Assuming only heap space matters
Trap Explanation:
PITFALL
  • Candidates often forget output string space or frequency map space in total auxiliary space.
Interviewer Note:
CONTEXT
  • Tests understanding of space complexity including auxiliary data structures.
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