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What is the space complexity of the optimal greedy Assign Cookies solution that sorts the input arrays in-place?

medium🪤 Complexity Trap Q6 of Q15
Greedy Algorithms - Assign Cookies
What is the space complexity of the optimal greedy Assign Cookies solution that sorts the input arrays in-place?
AO(n * m) due to auxiliary arrays for assignments
BO(log n + log m) due to recursion stack in sorting
CO(1) if sorting is done in-place and no extra arrays used
DO(n + m) for storing sorted arrays separately
Step-by-Step Solution
Solution:
  1. Step 1: Consider sorting space

    In-place sorting like Timsort uses O(log n) stack space for recursion.
  2. Step 2: Total space

    Sorting both arrays uses O(log n + log m) auxiliary stack space; no extra arrays needed.
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    In-place sorting recursion stack dominates space [OK]
Quick Trick: In-place sort uses recursion stack space [OK]
Common Mistakes:
MISTAKES
  • Assuming O(1) always
  • Counting input arrays as extra space
  • Ignoring recursion stack in sorting
Trap Explanation:
PITFALL
  • Candidates forget recursion stack space in in-place sorting algorithms.
Interviewer Note:
CONTEXT
  • Tests understanding of space usage including recursion stack in sorting.
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