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After sequentially adding the numbers 4, 6, and 5 to an initially empty data stream, what is the resulting list of disjoint intervals?

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Intervals - Data Stream as Disjoint Intervals
After sequentially adding the numbers 4, 6, and 5 to an initially empty data stream, what is the resulting list of disjoint intervals?
A[[4, 6]]
B[[4, 4], [5, 5], [6, 6]]
C[[4, 5], [6, 6]]
D[[4, 6], [7, 7]]
Step-by-Step Solution
Solution:
  1. Step 1: Add 4

    Intervals: [[4,4]]
  2. Step 2: Add 6

    Intervals: [[4,4], [6,6]]
  3. Step 3: Add 5

    5 bridges intervals [4,4] and [6,6], merge to [[4,6]]
  4. Final Answer:

    Option A -> Option A
  5. Quick Check:

    5 connects two intervals, merging them [OK]
Quick Trick: Adding bridging number merges adjacent intervals [OK]
Common Mistakes:
MISTAKES
  • Not merging intervals after adding bridging number
  • Assuming intervals remain separate after adding 5
Trap Explanation:
PITFALL
  • Forgetting to merge intervals when a new number connects them.
Interviewer Note:
CONTEXT
  • Tests ability to simulate interval merges after insertions.
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