Intervals - Minimum Number of Arrows to Burst Balloons
Given the following input to the optimal greedy algorithm for minimum arrows: [[1,6],[2,8],[7,12],[10,16]], what is the output?
Given the following input to the optimal greedy algorithm for minimum arrows: [[1,6],[2,8],[7,12],[10,16]], what is the output?
easy🧾 Code Trace Q3 of Q15
Step-by-Step Solution
Solution:
Step 1: Sort intervals by end
Sorted: [1,6], [2,8], [7,12], [10,16]Step 2: Iterate and count arrows
First arrow at 6 covers [1,6],[2,8]. Next arrow needed at 12 for [7,12],[10,16]. Total arrows = 2.Final Answer:
Option A -> Option AQuick Check:
Two arrows suffice to burst all balloons [OK]
Quick Trick: Sort by end, shoot arrow at earliest end [OK]
Common Mistakes:
MISTAKES- Counting overlapping intervals incorrectly
Trap Explanation:
PITFALL- Candidates may overcount arrows by not updating arrow position correctly.
Interviewer Note:
CONTEXT- Tests ability to trace greedy algorithm on typical input.
Master "Minimum Number of Arrows to Burst Balloons" in Intervals
Want More Practice?
15+ quiz questions · All difficulty levels · Free
Free Signup - Practice All QuestionsMore Intervals Quizzes