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Consider the input [[1,1],[1,1],[1,1]] to the optimal greedy algorithm for minimum arrows. What is the output?

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Intervals - Minimum Number of Arrows to Burst Balloons
Consider the input [[1,1],[1,1],[1,1]] to the optimal greedy algorithm for minimum arrows. What is the output?
A3
B2
C0
D1
Step-by-Step Solution
Solution:

  1. Step 1: Sort intervals by end

    All intervals are [1,1], sorted remains the same.

  2. Step 2: Iterate and count arrows

    First arrow at 1 bursts all since all intervals overlap at point 1. Arrows = 1.

  3. Final Answer:

    Option D -> Option D

  4. Quick Check:

    One arrow suffices for identical intervals [OK]
Quick Trick: Identical intervals need only one arrow [OK]
Common Mistakes:
MISTAKES
  • Assuming each identical interval needs separate arrow
Trap Explanation:
PITFALL
  • Candidates may incorrectly count each identical interval separately.
Interviewer Note:
CONTEXT
  • Tests handling of edge cases with zero-length intervals.
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