Greedy Algorithms - Gas Station (Circular)
What is the space complexity of the optimal greedy solution using prefix sums for the Gas Station (Circular) problem with n gas stations?
What is the space complexity of the optimal greedy solution using prefix sums for the Gas Station (Circular) problem with n gas stations?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Identify data structures
The solution uses arrays net and prefix sums of size O(n), so O(n) space for arrays.Step 2: Consider recursion stack
However, the provided solution is iterative, so no recursion stack. The space is dominated by arrays.Final Answer:
Option D -> Option DQuick Check:
Iterative prefix sums use O(n) space, recursion stack is not used here [OK]
Quick Trick: Prefix sums arrays -> O(n) space; no recursion stack [OK]
Common Mistakes:
MISTAKES- Forgetting auxiliary arrays or recursion stack
Trap Explanation:
PITFALL- Candidates confuse recursion stack space with iterative array space.
Interviewer Note:
CONTEXT- Tests understanding of auxiliary space vs recursion stack
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