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"categoryTitle": "Algorithms",
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"title": "Eliminate Maximum Number of Monsters",
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"content": "<p>You are playing a video game where you are defending your city from a group of <code>n</code> monsters. You are given a <strong>0-indexed</strong> integer array <code>dist</code> of size <code>n</code>, where <code>dist[i]</code> is the <strong>initial distance</strong> in kilometers of the <code>i<sup>th</sup></code> monster from the city.</p>\n\n<p>The monsters walk toward the city at a <strong>constant</strong> speed. The speed of each monster is given to you in an integer array <code>speed</code> of size <code>n</code>, where <code>speed[i]</code> is the speed of the <code>i<sup>th</sup></code> monster in kilometers per minute.</p>\n\n<p>You have a weapon that, once fully charged, can eliminate a <strong>single</strong> monster. However, the weapon takes <strong>one minute</strong> to charge.The weapon is fully charged at the very start.</p>\n\n<p>You lose when any monster reaches your city. If a monster reaches the city at the exact moment the weapon is fully charged, it counts as a <strong>loss</strong>, and the game ends before you can use your weapon.</p>\n\n<p>Return <em>the <strong>maximum</strong> number of monsters that you can eliminate before you lose, or </em><code>n</code><em> if you can eliminate all the monsters before they reach the city.</em></p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> dist = [1,3,4], speed = [1,1,1]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong>\nIn the beginning, the distances of the monsters are [1,3,4]. You eliminate the first monster.\nAfter a minute, the distances of the monsters are [X,2,3]. You eliminate the second monster.\nAfter a minute, the distances of the monsters are [X,X,2]. You eliminate the thrid monster.\nAll 3 monsters can be eliminated.</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> dist = [1,1,2,3], speed = [1,1,1,1]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong>\nIn the beginning, the distances of the monsters are [1,1,2,3]. You eliminate the first monster.\nAfter a minute, the distances of the monsters are [X,0,1,2], so you lose.\nYou can only eliminate 1 monster.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> dist = [3,2,4], speed = [5,3,2]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong>\nIn the beginning, the distances of the monsters are [3,2,4]. You eliminate the first monster.\nAfter a minute, the distances of the monsters are [X,0,2], so you lose.\nYou can only eliminate 1 monster.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == dist.length == speed.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= dist[i], speed[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
"translatedTitle": "消灭怪物的最大数量",
"translatedContent": "<p>你正在玩一款电子游戏,在游戏中你需要保护城市免受怪物侵袭。给你一个 <strong>下标从 0 开始</strong> 且长度为 <code>n</code> 的整数数组 <code>dist</code> ,其中 <code>dist[i]</code> 是第 <code>i</code> 个怪物与城市的 <strong>初始距离</strong>(单位:米)。</p>\n\n<p>怪物以 <strong>恒定</strong> 的速度走向城市。给你一个长度为 <code>n</code> 的整数数组 <code>speed</code> 表示每个怪物的速度,其中 <code>speed[i]</code> 是第 <code>i</code> 个怪物的速度(单位:米/分)。</p>\n\n<p>怪物从 <strong>第 0 分钟</strong> 时开始移动。你有一把武器,并可以 <strong>选择</strong> 在每一分钟的开始时使用,包括第 0 分钟。但是你无法在一分钟的中间使用武器。这种武器威力惊人,一次可以消灭任一还活着的怪物。</p>\n\n<p>一旦任一怪物到达城市,你就输掉了这场游戏。如果某个怪物 <strong>恰</strong> 在某一分钟开始时到达城市,这会被视为<strong> 输掉</strong> 游戏,在你可以使用武器之前,游戏就会结束。</p>\n\n<p>返回在你输掉游戏前可以消灭的怪物的 <strong>最大</strong> 数量。如果你可以在所有怪物到达城市前将它们全部消灭,返回  <code>n</code> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>dist = [1,3,4], speed = [1,1,1]\n<strong>输出:</strong>3\n<strong>解释:</strong>\n第 0 分钟开始时,怪物的距离是 [1,3,4],你消灭了第一个怪物。\n第 1 分钟开始时,怪物的距离是 [X,2,3],你没有消灭任何怪物。\n第 2 分钟开始时,怪物的距离是 [X,1,2],你消灭了第二个怪物。\n第 3 分钟开始时,怪物的距离是 [X,X,1],你消灭了第三个怪物。\n所有 3 个怪物都可以被消灭。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>dist = [1,1,2,3], speed = [1,1,1,1]\n<strong>输出:</strong>1\n<strong>解释:</strong>\n第 0 分钟开始时,怪物的距离是 [1,1,2,3],你消灭了第一个怪物。\n第 1 分钟开始时,怪物的距离是 [X,0,1,2],你输掉了游戏。\n你只能消灭 1 个怪物。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>dist = [3,2,4], speed = [5,3,2]\n<strong>输出:</strong>1\n<strong>解释:</strong>\n第 0 分钟开始时,怪物的距离是 [3,2,4],你消灭了第一个怪物。\n第 1 分钟开始时,怪物的距离是 [X,0,2],你输掉了游戏。 \n你只能消灭 1 个怪物。\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>n == dist.length == speed.length</code></li>\n\t<li><code>1 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= dist[i], speed[i] <= 10<sup>5</sup></code></li>\n</ul>\n",
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