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Which data structure is most suitable for efficiently supporting this task?

easy💻 Programming Q1 of Q15
Intervals - Data Stream as Disjoint Intervals
You are processing a continuous stream of integers and need to dynamically maintain a collection of non-overlapping intervals that cover all inserted values. Which data structure is most suitable for efficiently supporting this task?
AStack with last-in-first-out order
BSimple array with linear search
CBalanced binary search tree (e.g., AVL or Red-Black Tree)
DQueue with first-in-first-out order
Step-by-Step Solution
Solution:
  1. Step 1: Identify the need for ordered intervals

    Intervals must be kept sorted and merged efficiently.
  2. Step 2: Choose data structure

    Balanced BST allows O(log n) insertion, search, and merging.
  3. Final Answer:

    Option C -> Option C
  4. Quick Check:

    Balanced BST supports dynamic ordered intervals efficiently [OK]
Quick Trick: Balanced BSTs maintain sorted intervals efficiently [OK]
Common Mistakes:
MISTAKES
  • Choosing arrays leads to inefficient insertions and merges
  • Stacks and queues do not maintain sorted order needed
Trap Explanation:
PITFALL
  • Arrays or linear structures seem simpler but are inefficient for dynamic merges.
Interviewer Note:
CONTEXT
  • Tests understanding of appropriate data structures for interval maintenance.
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