Greedy Algorithms - Reorganize String (No Two Adjacent Same)
What is the time complexity of the optimal max heap approach to reorganize a string of length n with k unique characters?
What is the time complexity of the optimal max heap approach to reorganize a string of length n with k unique characters?
medium🪤 Complexity Trap Q5 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze heap operations
Building the heap takes O(k), popping and pushing each character n times costs O(n log k).Step 2: Combine complexities
Total time is dominated by O(n log k), since each character is processed once with heap operations.Final Answer:
Option B -> Option BQuick Check:
Heap operations on k unique chars cost log k per operation [OK]
Quick Trick: Heap operations cost log k, done n times [OK]
Common Mistakes:
MISTAKES- Confusing n and k in complexity
- Assuming O(n log n) always
- Ignoring heap operation cost
Trap Explanation:
PITFALL- Many candidates incorrectly assume complexity depends on n log n instead of n log k.
Interviewer Note:
CONTEXT- Tests understanding of complexity in heap-based greedy algorithms.
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