What is the space complexity of the optimal Partition Labels algorithm that uses a fixed-size array for last occurrences?

medium🪤 Complexity Trap Q6 of Q15

Greedy Algorithms - Partition Labels

AO(n) due to storing all partitions in the result list

BO(1) because the auxiliary array size is fixed and result space is ignored

CO(1) for auxiliary space, but O(n) including output list

DO(n) due to recursion stack in the algorithm

Step-by-Step Solution

Solution:

Step 1: Auxiliary space usage
The fixed-size array for last occurrences uses O(1) space.
Step 2: Output list space
The result list stores partition sizes, which can be up to O(n) in worst case.
Final Answer:
Option C -> Option C
Quick Check:
Auxiliary space O(1), total space including output O(n) [OK]

Quick Trick: Auxiliary O(1), output list O(n) space [OK]

Common Mistakes:

MISTAKES

Trap Explanation:

PITFALL

Candidates often forget to include output list space or confuse recursion stack with iterative code.

Interviewer Note:

CONTEXT

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