leetcode-problemset/leetcode/originData/minimum-amount-of-damage-dealt-to-bob.json

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            "title": "Minimum Amount of Damage Dealt to Bob",
            "titleSlug": "minimum-amount-of-damage-dealt-to-bob",
            "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] &gt; 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>&nbsp;</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>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= power &lt;= 10<sup>4</sup></code></li>\n\t<li><code>1 &lt;= n == damage.length == health.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= damage[i], health[i] &lt;= 10<sup>4</sup></code></li>\n</ul>\n",
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                    "code": "class Solution(object):\n    def minDamage(self, power, damage, health):\n        \"\"\"\n        :type power: int\n        :type damage: List[int]\n        :type health: List[int]\n        :rtype: int\n        \"\"\"\n        ",
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                    "code": "# @param {Integer} power\n# @param {Integer[]} damage\n# @param {Integer[]} health\n# @return {Integer}\ndef min_damage(power, damage, health)\n    \nend",
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                    "code": "impl Solution {\n    pub fn min_damage(power: i32, damage: Vec<i32>, health: Vec<i32>) -> i64 {\n        \n    }\n}",
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            "hints": [
                "Can we use sorting here along with a custom comparator?",
                "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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