Greedy Algorithms - Candy Distribution
What is the space complexity of the optimal candy distribution algorithm that uses two arrays (left2right and right2left) for an input of size n?
What is the space complexity of the optimal candy distribution algorithm that uses two arrays (left2right and right2left) for an input of size n?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Identify auxiliary arrays
The algorithm uses two arrays of size n each: left2right and right2left.Step 2: Calculate total space
Space for candies arrays is O(n) + O(n) = O(2n) = O(n). No recursion stack used.Step 3: Trap check
O(n²) is incorrect; correct space is linear, not quadratic.Final Answer:
Option D -> Option DQuick Check:
Two arrays of size n -> O(n) space [OK]
Quick Trick: Two arrays of size n -> linear space [OK]
Common Mistakes:
MISTAKES- Confusing time and space complexity
- Assuming recursion stack space
- Mistaking arrays for quadratic space
Trap Explanation:
PITFALL- Candidates often overestimate space due to multiple arrays or recursion assumptions.
Interviewer Note:
CONTEXT- Tests understanding of auxiliary space usage
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