{ "data": { "question": { "questionId": "2049", "questionFrontendId": "1921", "categoryTitle": "Algorithms", "boundTopicId": 852740, "title": "Eliminate Maximum Number of Monsters", "titleSlug": "eliminate-maximum-number-of-monsters", "content": "
You are playing a video game where you are defending your city from a group of n
monsters. You are given a 0-indexed integer array dist
of size n
, where dist[i]
is the initial distance in kilometers of the ith
monster from the city.
The monsters walk toward the city at a constant speed. The speed of each monster is given to you in an integer array speed
of size n
, where speed[i]
is the speed of the ith
monster in kilometers per minute.
You have a weapon that, once fully charged, can eliminate a single monster. However, the weapon takes one minute to charge. The weapon is fully charged at the very start.
\n\nYou 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 loss, and the game ends before you can use your weapon.
\n\nReturn the maximum number of monsters that you can eliminate before you lose, or n
if you can eliminate all the monsters before they reach the city.
\n
Example 1:
\n\n\nInput: dist = [1,3,4], speed = [1,1,1]\nOutput: 3\nExplanation:\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 third monster.\nAll 3 monsters can be eliminated.\n\n
Example 2:
\n\n\nInput: dist = [1,1,2,3], speed = [1,1,1,1]\nOutput: 1\nExplanation:\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\n\n
Example 3:
\n\n\nInput: dist = [3,2,4], speed = [5,3,2]\nOutput: 1\nExplanation:\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\n\n
\n
Constraints:
\n\nn == dist.length == speed.length
1 <= n <= 105
1 <= dist[i], speed[i] <= 105
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。给定一个 下标从 0 开始 且大小为 n
的整数数组 dist
,其中 dist[i]
是第 i
个怪物与城市的 初始距离(单位:米)。
怪物以 恒定 的速度走向城市。每个怪物的速度都以一个长度为 n
的整数数组 speed
表示,其中 speed[i]
是第 i
个怪物的速度(单位:千米/分)。
你有一种武器,一旦充满电,就可以消灭 一个 怪物。但是,武器需要 一分钟 才能充电。武器在游戏开始时是充满电的状态,怪物从 第 0 分钟 时开始移动。
\n\n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 恰好 在某一分钟开始时到达城市(距离表示为0),这也会被视为 输掉 游戏,在你可以使用武器之前,游戏就会结束。
\n\n返回在你输掉游戏前可以消灭的怪物的 最大 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 n
。
\n\n
示例 1:
\n\n\n输入:dist = [1,3,4], speed = [1,1,1]\n输出:3\n解释:\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],你消灭了第二个怪物。\n第 3 分钟开始时,怪物的距离是 [X,X,2],你消灭了第三个怪物。\n所有 3 个怪物都可以被消灭。\n\n
示例 2:
\n\n\n输入:dist = [1,1,2,3], speed = [1,1,1,1]\n输出:1\n解释:\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],所以你输掉了游戏。\n你只能消灭 1 个怪物。\n\n\n
示例 3:
\n\n\n输入:dist = [3,2,4], speed = [5,3,2]\n输出:1\n解释:\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\n\n
\n\n
提示:
\n\nn == dist.length == speed.length
1 <= n <= 105
1 <= dist[i], speed[i] <= 105
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