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leetcode-problemset/leetcode-cn/originData/minimum-number-of-arrows-to-burst-balloons.json
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"categoryTitle": "Algorithms",
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"title": "Minimum Number of Arrows to Burst Balloons",
"titleSlug": "minimum-number-of-arrows-to-burst-balloons",
"content": "<p>There are some spherical balloons taped onto a flat wall that represents the XY-plane. The balloons are represented as a 2D integer array <code>points</code> where <code>points[i] = [x<sub>start</sub>, x<sub>end</sub>]</code> denotes a balloon whose <strong>horizontal diameter</strong> stretches between <code>x<sub>start</sub></code> and <code>x<sub>end</sub></code>. You do not know the exact y-coordinates of the balloons.</p>\n\n<p>Arrows can be shot up <strong>directly vertically</strong> (in the positive y-direction) from different points along the x-axis. A balloon with <code>x<sub>start</sub></code> and <code>x<sub>end</sub></code> is <strong>burst</strong> by an arrow shot at <code>x</code> if <code>x<sub>start</sub> &lt;= x &lt;= x<sub>end</sub></code>. There is <strong>no limit</strong> to the number of arrows that can be shot. A shot arrow keeps traveling up infinitely, bursting any balloons in its path.</p>\n\n<p>Given the array <code>points</code>, return <em>the <strong>minimum</strong> number of arrows that must be shot to burst all balloons</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> points = [[10,16],[2,8],[1,6],[7,12]]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> 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</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> points = [[1,2],[3,4],[5,6],[7,8]]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> One arrow needs to be shot for each balloon for a total of 4 arrows.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> points = [[1,2],[2,3],[3,4],[4,5]]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> 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</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= points.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>points[i].length == 2</code></li>\n\t<li><code>-2<sup>31</sup> &lt;= x<sub>start</sub> &lt; x<sub>end</sub> &lt;= 2<sup>31</sup> - 1</code></li>\n</ul>\n",
"translatedTitle": "用最少数量的箭引爆气球",
"translatedContent": "<p>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&nbsp;<code>points</code>&nbsp;,其中<code>points[i] = [x<sub>start</sub>, x<sub>end</sub>]</code>&nbsp;表示水平直径在&nbsp;<code>x<sub>start</sub></code>&nbsp;和&nbsp;<code>x<sub>end</sub></code>之间的气球。你不知道气球的确切 y 坐标。</p>\n\n<p>一支弓箭可以沿着 x 轴从不同点 <strong>完全垂直</strong> 地射出。在坐标 <code>x</code> 处射出一支箭,若有一个气球的直径的开始和结束坐标为 <code>x</code><sub><code>start</code></sub><code>x</code><sub><code>end</code></sub> 且满足 &nbsp;<code>x<sub>start</sub>&nbsp;≤ x ≤ x</code><sub><code>end</code></sub>则该气球会被 <strong>引爆</strong>&nbsp;<sub>。</sub>可以射出的弓箭的数量 <strong>没有限制</strong> 。 弓箭一旦被射出之后,可以无限地前进。</p>\n\n<p>给你一个数组 <code>points</code> <em>返回引爆所有气球所必须射出的 <strong>最小</strong> 弓箭数&nbsp;</em>。</p>\n&nbsp;\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>points = [[10,16],[2,8],[1,6],[7,12]]\n<strong>输出:</strong>2\n<strong>解释:</strong>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]。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>points = [[1,2],[3,4],[5,6],[7,8]]\n<strong>输出:</strong>4\n<strong>解释:</strong>每个气球需要射出一支箭总共需要4支箭。</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>points = [[1,2],[2,3],[3,4],[4,5]]\n<strong>输出:</strong>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]。</pre>\n\n<p>&nbsp;</p>\n\n<p><meta charset=\"UTF-8\" /></p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= points.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>points[i].length == 2</code></li>\n\t<li><code>-2<sup>31</sup>&nbsp;&lt;= x<sub>start</sub>&nbsp;&lt; x<sub>end</sub>&nbsp;&lt;= 2<sup>31</sup>&nbsp;- 1</code></li>\n</ul>\n",
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