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"questionId": "2459",
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"categoryTitle": "Algorithms",
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"title": "Minimum Hours of Training to Win a Competition",
"titleSlug": "minimum-hours-of-training-to-win-a-competition",
"content": "<p>You are entering a competition, and are given two <strong>positive</strong> integers <code>initialEnergy</code> and <code>initialExperience</code> denoting your initial energy and initial experience respectively.</p>\n\n<p>You are also given two <strong>0-indexed</strong> integer arrays <code>energy</code> and <code>experience</code>, both of length <code>n</code>.</p>\n\n<p>You will face <code>n</code> opponents <strong>in order</strong>. The energy and experience of the <code>i<sup>th</sup></code> opponent is denoted by <code>energy[i]</code> and <code>experience[i]</code> respectively. When you face an opponent, you need to have both <strong>strictly</strong> greater experience and energy to defeat them and move to the next opponent if available.</p>\n\n<p>Defeating the <code>i<sup>th</sup></code> opponent <strong>increases</strong> your experience by <code>experience[i]</code>, but <strong>decreases</strong> your energy by <code>energy[i]</code>.</p>\n\n<p>Before starting the competition, you can train for some number of hours. After each hour of training, you can <strong>either</strong> choose to increase your initial experience by one, or increase your initial energy by one.</p>\n\n<p>Return <em>the <strong>minimum</strong> number of training hours required to defeat all </em><code>n</code><em> opponents</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> initialEnergy = 5, initialExperience = 3, energy = [1,4,3,2], experience = [2,6,3,1]\n<strong>Output:</strong> 8\n<strong>Explanation:</strong> You can increase your energy to 11 after 6 hours of training, and your experience to 5 after 2 hours of training.\nYou face the opponents in the following order:\n- You have more energy and experience than the 0<sup>th</sup> opponent so you win.\n Your energy becomes 11 - 1 = 10, and your experience becomes 5 + 2 = 7.\n- You have more energy and experience than the 1<sup>st</sup> opponent so you win.\n Your energy becomes 10 - 4 = 6, and your experience becomes 7 + 6 = 13.\n- You have more energy and experience than the 2<sup>nd</sup> opponent so you win.\n Your energy becomes 6 - 3 = 3, and your experience becomes 13 + 3 = 16.\n- You have more energy and experience than the 3<sup>rd</sup> opponent so you win.\n Your energy becomes 3 - 2 = 1, and your experience becomes 16 + 1 = 17.\nYou did a total of 6 + 2 = 8 hours of training before the competition, so we return 8.\nIt can be proven that no smaller answer exists.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> initialEnergy = 2, initialExperience = 4, energy = [1], experience = [3]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> You do not need any additional energy or experience to win the competition, so we return 0.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == energy.length == experience.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 100</code></li>\n\t<li><code>1 &lt;= initialEnergy, initialExperience, energy[i], experience[i] &lt;= 100</code></li>\n</ul>\n",
"translatedTitle": "赢得比赛需要的最少训练时长",
"translatedContent": "<p>你正在参加一场比赛,给你两个 <strong>正</strong> 整数 <code>initialEnergy</code> 和 <code>initialExperience</code> 分别表示你的初始精力和初始经验。</p>\n\n<p>另给你两个下标从 <strong>0</strong> 开始的整数数组 <code>energy</code> 和 <code>experience</code>,长度均为 <code>n</code> 。</p>\n\n<p>你将会 <strong>依次</strong> 对上 <code>n</code> 个对手。第 <code>i</code> 个对手的精力和经验分别用 <code>energy[i]</code> 和 <code>experience[i]</code> 表示。当你对上对手时,需要在经验和精力上都 <strong>严格</strong> 超过对手才能击败他们,然后在可能的情况下继续对上下一个对手。</p>\n\n<p>击败第 <code>i</code> 个对手会使你的经验 <strong>增加</strong> <code>experience[i]</code>,但会将你的精力 <strong>减少</strong>&nbsp; <code>energy[i]</code> 。</p>\n\n<p>在开始比赛前,你可以训练几个小时。每训练一个小时,你可以选择将增加经验增加 1 <strong>或者</strong> 将精力增加 1 。</p>\n\n<p>返回击败全部 <code>n</code> 个对手需要训练的 <strong>最少</strong> 小时数目。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>initialEnergy = 5, initialExperience = 3, energy = [1,4,3,2], experience = [2,6,3,1]\n<strong>输出:</strong>8\n<strong>解释:</strong>在 6 小时训练后,你可以将精力提高到 11 ,并且再训练 2 个小时将经验提高到 5 。\n按以下顺序与对手比赛\n- 你的精力与经验都超过第 0 个对手,所以获胜。\n 精力变为11 - 1 = 10 经验变为5 + 2 = 7 。\n- 你的精力与经验都超过第 1 个对手,所以获胜。\n 精力变为10 - 4 = 6 经验变为7 + 6 = 13 。\n- 你的精力与经验都超过第 2 个对手,所以获胜。\n 精力变为6 - 3 = 3 经验变为13 + 3 = 16 。\n- 你的精力与经验都超过第 3 个对手,所以获胜。\n 精力变为3 - 2 = 1 经验变为16 + 1 = 17 。\n在比赛前进行了 8 小时训练,所以返回 8 。\n可以证明不存在更小的答案。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>initialEnergy = 2, initialExperience = 4, energy = [1], experience = [3]\n<strong>输出:</strong>0\n<strong>解释:</strong>你不需要额外的精力和经验就可以赢得比赛,所以返回 0 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>n == energy.length == experience.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 100</code></li>\n\t<li><code>1 &lt;= initialEnergy, initialExperience, energy[i], experience[i] &lt;= 100</code></li>\n</ul>\n",
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