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Which algorithmic pattern best solves the problem of finding the minimum number of arrows needed to burst all balloons?

easy🔍 Pattern Recognition Q1 of Q15
Intervals - Minimum Number of Arrows to Burst Balloons
You are given a list of intervals representing balloons on a horizontal line. Each balloon can be burst by shooting an arrow through any point within its interval. Which algorithmic pattern best solves the problem of finding the minimum number of arrows needed to burst all balloons?
ADynamic programming to find the longest chain of non-overlapping intervals
BGreedy algorithm by sorting intervals based on their end points and selecting arrows accordingly
CDivide and conquer by recursively splitting intervals and merging results
DBacktracking to try all possible arrow positions and count minimum arrows
Step-by-Step Solution
Solution:

  1. Step 1: Understand problem constraints

    The problem requires minimizing points (arrows) that cover all intervals (balloons).

  2. Step 2: Identify suitable pattern

    Greedy by sorting intervals on end coordinate ensures minimal arrows by always shooting at earliest possible end.

  3. Final Answer:

    Option B -> Option B

  4. Quick Check:

    Sorting by end and greedy selection is classic for interval coverage [OK]
Quick Trick: Sort intervals by end, pick earliest end point [OK]
Common Mistakes:
MISTAKES
  • Confusing with longest chain or maximum intervals selection
Trap Explanation:
PITFALL
  • Candidates often confuse interval scheduling with coverage; greedy by end is key here.
Interviewer Note:
CONTEXT
  • Tests candidate's ability to recognize interval coverage pattern.
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