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When is Approach 1 preferable over Approach 2?

hard⚖️ Approach Comparison Q8 of Q15
Intervals - Minimum Number of Arrows to Burst Balloons
Consider two approaches to solve the minimum arrows problem: Approach 1: Sorting intervals by start coordinate and greedily updating the current group's end. Approach 2: Sorting intervals by end coordinate and greedily shooting arrows at earliest possible end. When is Approach 1 preferable over Approach 2?
AWhen intervals are mostly non-overlapping and start times are unique
BWhen we need to find maximum number of non-overlapping intervals instead
CWhen we want to track overlapping groups explicitly and update group ends dynamically
DWhen input size is very large and sorting by end is too expensive
Step-by-Step Solution
Solution:
  1. Step 1: Understand Approach 1

    Sorting by start and updating group's end helps track overlapping groups explicitly.
  2. Step 2: Compare with Approach 2

    Approach 2 is optimal for minimal arrows but Approach 1 is better if group boundaries must be tracked.
  3. Final Answer:

    Option C -> Option C
  4. Quick Check:

    Approach 1 suits scenarios needing explicit overlap group management [OK]
Quick Trick: Approach 1 tracks groups; Approach 2 minimizes arrows [OK]
Common Mistakes:
MISTAKES
  • Assuming both approaches always yield same info or efficiency
Trap Explanation:
PITFALL
  • Candidates often overlook trade-offs between explicit group tracking and minimal arrow count.
Interviewer Note:
CONTEXT
  • Tests understanding of trade-offs between greedy variants.
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