{ "data": { "question": { "questionId": "452", "questionFrontendId": "452", "categoryTitle": "Algorithms", "boundTopicId": 1891, "title": "Minimum Number of Arrows to Burst Balloons", "titleSlug": "minimum-number-of-arrows-to-burst-balloons", "content": "

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.

\n\n

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.

\n\n

Given the array points, return the minimum number of arrows that must be shot to burst all balloons.

\n\n

 

\n

Example 1:

\n\n
\nInput: points = [[10,16],[2,8],[1,6],[7,12]]\nOutput: 2\nExplanation: The balloons can be burst by 2 arrows:\n- Shoot an arrow at x = 6, bursting the balloons [2,8] and [1,6].\n- Shoot an arrow at x = 11, bursting the balloons [10,16] and [7,12].\n
\n\n

Example 2:

\n\n
\nInput: points = [[1,2],[3,4],[5,6],[7,8]]\nOutput: 4\nExplanation: One arrow needs to be shot for each balloon for a total of 4 arrows.\n
\n\n

Example 3:

\n\n
\nInput: points = [[1,2],[2,3],[3,4],[4,5]]\nOutput: 2\nExplanation: The balloons can be burst by 2 arrows:\n- Shoot an arrow at x = 2, bursting the balloons [1,2] and [2,3].\n- Shoot an arrow at x = 4, bursting the balloons [3,4] and [4,5].\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "用最少数量的箭引爆气球", "translatedContent": "

有一些球形气球贴在一堵用 XY 平面表示的墙面上。墙面上的气球记录在整数数组 points ，其中points[i] = [xstart, xend] 表示水平直径在 xstart 和 xend之间的气球。你不知道气球的确切 y 坐标。

\n\n

一支弓箭可以沿着 x 轴从不同点 完全垂直 地射出。在坐标 x 处射出一支箭，若有一个气球的直径的开始和结束坐标为 xstart，xend， 且满足  xstart ≤ x ≤ xend，则该气球会被 引爆 。可以射出的弓箭的数量 没有限制 。 弓箭一旦被射出之后，可以无限地前进。

\n\n

给你一个数组 points ，返回引爆所有气球所必须射出的 最小 弓箭数 。

\n \n\n

示例 1：

\n\n
\n输入：points = [[10,16],[2,8],[1,6],[7,12]]\n输出：2\n解释：气球可以用2支箭来爆破:\n-在x = 6处射出箭，击破气球[2,8]和[1,6]。\n-在x = 11处发射箭，击破气球[10,16]和[7,12]。
\n\n

示例 2：

\n\n
\n输入：points = [[1,2],[3,4],[5,6],[7,8]]\n输出：4\n解释：每个气球需要射出一支箭，总共需要4支箭。
\n\n

示例 3：

\n\n
\n输入：points = [[1,2],[2,3],[3,4],[4,5]]\n输出：2\n解释：气球可以用2支箭来爆破:\n- 在x = 2处发射箭，击破气球[1,2]和[2,3]。\n- 在x = 4处射出箭，击破气球[3,4]和[4,5]。
\n\n

 

\n\n

\n\n

提示:

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