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How to Solve Minimum Number of Arrows to Burst Balloons Problem
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Start Free for WindowsMedium#452
LeetCode ProblemMinimum Number of Arrows to Burst Balloons
There are some spherical balloons taped onto a flat wall that represents the XY-plane. The balloons are represented as a 2D integer array points where points[i] = [xstart, xend] denotes a balloon whose horizontal diameter stretches between xstart and xend. You do not know the exact y-coordinates of the balloons. Arrows can be shot up directly vertically (in the positive y-direction) from different points along the x-axis. A balloon with xstart and xend is burst by an arrow shot at x if xstart <= x <= xend. There is no limit to the number of arrows that can be shot. A shot arrow keeps traveling up infinitely, bursting any balloons in its path. Given the array points, return the minimum number of arrows that must be shot to burst all balloons.
ArrayGreedySorting
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Problem Breakdown
Understanding the Minimum Number of Arrows to Burst Balloons Problem
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Problem Statement
There are some spherical balloons taped onto a flat wall that represents the XY-plane. The balloons are represented as a 2D integer array points where points[i] = [xstart, xend] denotes a balloon whose horizontal diameter stretches between xstart and xend. You do not know the exact y-coordinates of the balloons. Arrows can be shot up directly vertically (in the positive y-direction) from different points along the x-axis. A balloon with xstart and xend is burst by an arrow shot at x if xstart <= x <= xend. There is no limit to the number of arrows that can be shot. A shot arrow keeps traveling up infinitely, bursting any balloons in its path. Given the array points, return the minimum number of arrows that must be shot to burst all balloons.
MediumProblem #452
LeetCodeMinimum Number of Arrows to Burst Balloons
Related Topics
ArrayGreedySorting
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Examples
# Example 1
Input
points = [[10,16],[2,8],[1,6],[7,12]]
Output
2
# Example 2
Input
points = [[1,2],[3,4],[5,6],[7,8]]
Output
4
# Example 3
Input
points = [[1,2],[2,3],[3,4],[4,5]]
Output
2
Constraints
1 <= points.length <= 105
points[i].length == 2
-231 <= xstart < xend <= 231 - 1
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Solve Minimum Number of Arrows to Burst Balloons — There are some spherical balloons taped onto a flat wall that represents the XY-...
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def solve(input):
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Time: O(n) | Space: O(n)
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Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
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The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
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