leetcode-problemset/leetcode-cn/originData/maximum-total-beauty-of-the-gardens.json

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            "questionId": "2330",
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            "title": "Maximum Total Beauty of the Gardens",
            "titleSlug": "maximum-total-beauty-of-the-gardens",
            "content": "<p>Alice is a caretaker of <code>n</code> gardens and she wants to plant flowers to maximize the total beauty of all her gardens.</p>\n\n<p>You are given a <strong>0-indexed</strong> integer array <code>flowers</code> of size <code>n</code>, where <code>flowers[i]</code> is the number of flowers already planted in the <code>i<sup>th</sup></code> garden. Flowers that are already planted <strong>cannot</strong> be removed. You are then given another integer <code>newFlowers</code>, which is the <strong>maximum</strong> number of flowers that Alice can additionally plant. You are also given the integers <code>target</code>, <code>full</code>, and <code>partial</code>.</p>\n\n<p>A garden is considered <strong>complete</strong> if it has <strong>at least</strong> <code>target</code> flowers. The <strong>total beauty</strong> of the gardens is then determined as the <strong>sum</strong> of the following:</p>\n\n<ul>\n\t<li>The number of <strong>complete</strong> gardens multiplied by <code>full</code>.</li>\n\t<li>The <strong>minimum</strong> number of flowers in any of the <strong>incomplete</strong> gardens multiplied by <code>partial</code>. If there are no incomplete gardens, then this value will be <code>0</code>.</li>\n</ul>\n\n<p>Return <em>the <strong>maximum</strong> total beauty that Alice can obtain after planting at most </em><code>newFlowers</code><em> flowers.</em></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> flowers = [1,3,1,1], newFlowers = 7, target = 6, full = 12, partial = 1\n<strong>Output:</strong> 14\n<strong>Explanation:</strong> Alice can plant\n- 2 flowers in the 0<sup>th</sup> garden\n- 3 flowers in the 1<sup>st</sup> garden\n- 1 flower in the 2<sup>nd</sup> garden\n- 1 flower in the 3<sup>rd</sup> garden\nThe gardens will then be [3,6,2,2]. She planted a total of 2 + 3 + 1 + 1 = 7 flowers.\nThere is 1 garden that is complete.\nThe minimum number of flowers in the incomplete gardens is 2.\nThus, the total beauty is 1 * 12 + 2 * 1 = 12 + 2 = 14.\nNo other way of planting flowers can obtain a total beauty higher than 14.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> flowers = [2,4,5,3], newFlowers = 10, target = 5, full = 2, partial = 6\n<strong>Output:</strong> 30\n<strong>Explanation:</strong> Alice can plant\n- 3 flowers in the 0<sup>th</sup> garden\n- 0 flowers in the 1<sup>st</sup> garden\n- 0 flowers in the 2<sup>nd</sup> garden\n- 2 flowers in the 3<sup>rd</sup> garden\nThe gardens will then be [5,4,5,5]. She planted a total of 3 + 0 + 0 + 2 = 5 flowers.\nThere are 3 gardens that are complete.\nThe minimum number of flowers in the incomplete gardens is 4.\nThus, the total beauty is 3 * 2 + 4 * 6 = 6 + 24 = 30.\nNo other way of planting flowers can obtain a total beauty higher than 30.\nNote that Alice could make all the gardens complete but in this case, she would obtain a lower total beauty.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= flowers.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= flowers[i], target &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= newFlowers &lt;= 10<sup>10</sup></code></li>\n\t<li><code>1 &lt;= full, partial &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "花园的最大总美丽值",
            "translatedContent": "<p>Alice 是&nbsp;<code>n</code>&nbsp;个花园的园丁，她想通过种花，最大化她所有花园的总美丽值。</p>\n\n<p>给你一个下标从 <strong>0</strong>&nbsp;开始大小为 <code>n</code>&nbsp;的整数数组&nbsp;<code>flowers</code>&nbsp;，其中&nbsp;<code>flowers[i]</code>&nbsp;是第 <code>i</code>&nbsp;个花园里已经种的花的数目。已经种了的花 <strong>不能</strong>&nbsp;移走。同时给你&nbsp;<code>newFlowers</code>&nbsp;，表示 Alice 额外可以种花的&nbsp;<strong>最大数目</strong>&nbsp;。同时给你的还有整数&nbsp;<code>target</code>&nbsp;，<code>full</code>&nbsp;和&nbsp;<code>partial</code>&nbsp;。</p>\n\n<p>如果一个花园有 <strong>至少</strong>&nbsp;<code>target</code>&nbsp;朵花，那么这个花园称为 <strong>完善的</strong>&nbsp;，花园的 <strong>总美丽值</strong>&nbsp;为以下分数之 <strong>和</strong> ：</p>\n\n<ul>\n\t<li><b>完善</b> 花园数目乘以&nbsp;<code>full</code>.</li>\n\t<li>剩余 <strong>不完善</strong>&nbsp;花园里，花的 <strong>最少数目</strong>&nbsp;乘以&nbsp;<code>partial</code>&nbsp;。如果没有不完善花园，那么这一部分的值为&nbsp;<code>0</code>&nbsp;。</li>\n</ul>\n\n<p>请你返回 Alice 种最多 <code>newFlowers</code>&nbsp;朵花以后，能得到的<strong>&nbsp;最大</strong>&nbsp;总美丽值。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><b>输入：</b>flowers = [1,3,1,1], newFlowers = 7, target = 6, full = 12, partial = 1\n<b>输出：</b>14\n<b>解释：</b>Alice 可以按以下方案种花\n- 在第 0 个花园种 2 朵花\n- 在第 1 个花园种 3 朵花\n- 在第 2 个花园种 1 朵花\n- 在第 3 个花园种 1 朵花\n花园里花的数目为 [3,6,2,2] 。总共种了 2 + 3 + 1 + 1 = 7 朵花。\n只有 1 个花园是完善的。\n不完善花园里花的最少数目是 2 。\n所以总美丽值为 1 * 12 + 2 * 1 = 12 + 2 = 14 。\n没有其他方案可以让花园总美丽值超过 14 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>flowers = [2,4,5,3], newFlowers = 10, target = 5, full = 2, partial = 6\n<b>输出：</b>30\n<b>解释：</b>Alice 可以按以下方案种花\n- 在第 0 个花园种 3 朵花\n- 在第 1 个花园种 0 朵花\n- 在第 2 个花园种 0 朵花\n- 在第 3 个花园种 2 朵花\n花园里花的数目为 [5,4,5,5] 。总共种了 3 + 0 + 0 + 2 = 5 朵花。\n有 3 个花园是完善的。\n不完善花园里花的最少数目为 4 。\n所以总美丽值为 3 * 2 + 4 * 6 = 6 + 24 = 30 。\n没有其他方案可以让花园总美丽值超过 30 。\n注意，Alice可以让所有花园都变成完善的，但这样她的总美丽值反而更小。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= flowers.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= flowers[i], target &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= newFlowers &lt;= 10<sup>10</sup></code></li>\n\t<li><code>1 &lt;= full, partial &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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                "Say we choose k gardens to be complete, is there an optimal way of choosing which gardens to plant more flowers to achieve this?",
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                "After sorting flowers, we can thus try every possible k and what is left is to find the highest minimum flowers we can obtain by planting the remaining flowers in the other gardens.",
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