mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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189 lines
28 KiB
JSON
189 lines
28 KiB
JSON
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"title": "Minimum Amount of Damage Dealt to Bob",
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"content": "<p>You are given an integer <code>power</code> and two integer arrays <code>damage</code> and <code>health</code>, both having length <code>n</code>.</p>\n\n<p>Bob has <code>n</code> enemies, where enemy <code>i</code> will deal Bob <code>damage[i]</code> <strong>points</strong> of damage per second while they are <em>alive</em> (i.e. <code>health[i] > 0</code>).</p>\n\n<p>Every second, <strong>after</strong> the enemies deal damage to Bob, he chooses <strong>one</strong> of the enemies that is still <em>alive</em> and deals <code>power</code> points of damage to them.</p>\n\n<p>Determine the <strong>minimum</strong> total amount of damage points that will be dealt to Bob before <strong>all</strong> <code>n</code> enemies are <em>dead</em>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">power = 4, damage = [1,2,3,4], health = [4,5,6,8]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">39</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Attack enemy 3 in the first two seconds, after which enemy 3 will go down, the number of damage points dealt to Bob is <code>10 + 10 = 20</code> points.</li>\n\t<li>Attack enemy 2 in the next two seconds, after which enemy 2 will go down, the number of damage points dealt to Bob is <code>6 + 6 = 12</code> points.</li>\n\t<li>Attack enemy 0 in the next second, after which enemy 0 will go down, the number of damage points dealt to Bob is <code>3</code> points.</li>\n\t<li>Attack enemy 1 in the next two seconds, after which enemy 1 will go down, the number of damage points dealt to Bob is <code>2 + 2 = 4</code> points.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">power = 1, damage = [1,1,1,1], health = [1,2,3,4]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">20</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Attack enemy 0 in the first second, after which enemy 0 will go down, the number of damage points dealt to Bob is <code>4</code> points.</li>\n\t<li>Attack enemy 1 in the next two seconds, after which enemy 1 will go down, the number of damage points dealt to Bob is <code>3 + 3 = 6</code> points.</li>\n\t<li>Attack enemy 2 in the next three seconds, after which enemy 2 will go down, the number of damage points dealt to Bob is <code>2 + 2 + 2 = 6</code> points.</li>\n\t<li>Attack enemy 3 in the next four seconds, after which enemy 3 will go down, the number of damage points dealt to Bob is <code>1 + 1 + 1 + 1 = 4</code> points.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">power = 8, damage = [40], health = [59]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">320</span></p>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= power <= 10<sup>4</sup></code></li>\n\t<li><code>1 <= n == damage.length == health.length <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= damage[i], health[i] <= 10<sup>4</sup></code></li>\n</ul>\n",
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"translatedTitle": "对 Bob 造成的最少伤害",
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"translatedContent": "<p>给你一个整数 <code>power</code> 和两个整数数组 <code>damage</code> 和 <code>health</code> ,两个数组的长度都为 <code>n</code> 。</p>\n\n<p>Bob 有 <code>n</code> 个敌人,如果第 <code>i</code> 个敌人还活着(也就是健康值 <code>health[i] > 0</code> 的时候),每秒钟会对 Bob 造成 <code>damage[i]</code> <strong>点</strong> 伤害。</p>\n\n<p>每一秒中,在敌人对 Bob 造成伤害 <strong>之后</strong> ,Bob 会选择 <strong>一个</strong> 还活着的敌人进行攻击,该敌人的健康值减少 <code>power</code> 。</p>\n\n<p>请你返回 Bob 将 <strong>所有</strong> <code>n</code> 个敌人都消灭之前,<strong>最少</strong> 会收到多少伤害。</p>\n\n<p> </p>\n\n<p><strong class=\"example\">示例 1:</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入:</b>power = 4, damage = [1,2,3,4], health = [4,5,6,8]</span></p>\n\n<p><span class=\"example-io\"><b>输出:</b>39</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>最开始 2 秒内都攻击敌人 3 ,然后敌人 3 会被消灭,这段时间内对 Bob 的总伤害是 <code>10 + 10 = 20</code> 点。</li>\n\t<li>接下来 2 秒内都攻击敌人 2 ,然后敌人 2 会被消灭,这段时间内对 Bob 的总伤害是 <code>6 + 6 = 12</code> 点。</li>\n\t<li>接下来 1 秒内都攻击敌人 0 ,然后敌人 0 会被消灭,这段时间内对 Bob 的总伤害是 <code>3</code> 点。</li>\n\t<li>接下来 2 秒内都攻击敌人 1 ,然后敌人 1 会被消灭,这段时间内对 Bob 的总伤害是 <code>2 + 2 = 4</code> 点。</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 2:</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入:</b>power = 1, damage = [1,1,1,1], health = [1,2,3,4]</span></p>\n\n<p><span class=\"example-io\"><b>输出:</b>20</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>最开始 1 秒内都攻击敌人 0 ,然后敌人 0 会被消灭,这段时间对 Bob 的总伤害是 <code>4</code> 点。</li>\n\t<li>接下来 2 秒内都攻击敌人 1 ,然后敌人 1 会被消灭,这段时间对 Bob 的总伤害是 <code>3 + 3 = 6</code> 点。</li>\n\t<li>接下来 3 秒内都攻击敌人 2 ,然后敌人 2 会被消灭,这段时间对 Bob 的总伤害是 <code>2 + 2 + 2 = 6</code> 点。</li>\n\t<li>接下来 4 秒内都攻击敌人 3 ,然后敌人 3 会被消灭,这段时间对 Bob 的总伤害是 <code>1 + 1 + 1 + 1 = 4</code> 点。</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 3:</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入:</b>power = 8, damage = [40], health = [59]</span></p>\n\n<p><span class=\"example-io\"><b>输出:</b>320</span></p>\n</div>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= power <= 10<sup>4</sup></code></li>\n\t<li><code>1 <= n == damage.length == health.length <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= damage[i], health[i] <= 10<sup>4</sup></code></li>\n</ul>\n",
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"For any two enemies <code>i</code> and <code>j</code> with damages <code>damage[i]</code> and <code>damage[j]</code>, and time to take each of them down <code>t<sub>i</sub></code> and <code>t<sub>j</sub></code>, when is it better to choose enemy <code>i</code> over enemy <code>j</code> first?"
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