Greedy Algorithms - Assign Cookies
What is the time complexity of the optimal greedy solution for Assign Cookies, which sorts both greed and cookie arrays before assignment?
What is the time complexity of the optimal greedy solution for Assign Cookies, which sorts both greed and cookie arrays before assignment?
medium🪤 Complexity Trap Q5 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze sorting cost
Sorting greed array takes O(n log n), sorting cookies O(m log m).Step 2: Analyze assignment cost
Assignment uses two pointers in O(n + m), dominated by sorting.Final Answer:
Option D -> Option DQuick Check:
Sorting dominates time complexity [OK]
Quick Trick: Sorting dominates, assignment linear [OK]
Common Mistakes:
MISTAKES- Confusing assignment loop as O(n*m)
- Ignoring sorting cost
- Assuming linear overall
Trap Explanation:
PITFALL- Candidates often mistake linear assignment as total complexity, ignoring sorting.
Interviewer Note:
CONTEXT- Tests understanding of sorting impact on greedy algorithm time complexity.
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