leetcode-problemset/leetcode-cn/originData/maximize-the-profit-as-the-salesman.json

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            "questionId": "2979",
            "questionFrontendId": "2830",
            "categoryTitle": "Algorithms",
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            "title": "Maximize the Profit as the Salesman",
            "titleSlug": "maximize-the-profit-as-the-salesman",
            "content": "<p>You are given an integer <code>n</code> representing the number of houses on a number line, numbered from <code>0</code> to <code>n - 1</code>.</p>\n\n<p>Additionally, you are given a 2D integer array <code>offers</code> where <code>offers[i] = [start<sub>i</sub>, end<sub>i</sub>, gold<sub>i</sub>]</code>, indicating that <code>i<sup>th</sup></code> buyer wants to buy all the houses from <code>start<sub>i</sub></code> to <code>end<sub>i</sub></code> for <code>gold<sub>i</sub></code> amount of gold.</p>\n\n<p>As a salesman, your goal is to <strong>maximize</strong> your earnings by strategically selecting and selling houses to buyers.</p>\n\n<p>Return <em>the maximum amount of gold you can earn</em>.</p>\n\n<p><strong>Note</strong> that different buyers can&#39;t buy the same house, and some houses may remain unsold.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 5, offers = [[0,0,1],[0,2,2],[1,3,2]]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> There are 5 houses numbered from 0 to 4 and there are 3 purchase offers.\nWe sell houses in the range [0,0] to 1<sup>st</sup> buyer for 1 gold and houses in the range [1,3] to 3<sup>rd</sup> buyer for 2 golds.\nIt can be proven that 3 is the maximum amount of gold we can achieve.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 5, offers = [[0,0,1],[0,2,10],[1,3,2]]\n<strong>Output:</strong> 10\n<strong>Explanation:</strong> There are 5 houses numbered from 0 to 4 and there are 3 purchase offers.\nWe sell houses in the range [0,2] to 2<sup>nd</sup> buyer for 10 golds.\nIt can be proven that 10 is the maximum amount of gold we can achieve.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= offers.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>offers[i].length == 3</code></li>\n\t<li><code>0 &lt;= start<sub>i</sub> &lt;= end<sub>i</sub> &lt;= n - 1</code></li>\n\t<li><code>1 &lt;= gold<sub>i</sub> &lt;= 10<sup>3</sup></code></li>\n</ul>\n",
            "translatedTitle": "销售利润最大化",
            "translatedContent": "<p>给你一个整数 <code>n</code> 表示数轴上的房屋数量，编号从 <code>0</code> 到 <code>n - 1</code> 。</p>\n\n<p>另给你一个二维整数数组 <code>offers</code> ，其中 <code>offers[i] = [start<sub>i</sub>, end<sub>i</sub>, gold<sub>i</sub>]</code> 表示第 <code>i</code> 个买家想要以 <code>gold<sub>i</sub></code> 枚金币的价格购买从 <code>start<sub>i</sub></code> 到 <code>end<sub>i</sub></code> 的所有房屋。</p>\n\n<p>作为一名销售，你需要有策略地选择并销售房屋使自己的收入最大化。</p>\n\n<p>返回你可以赚取的金币的最大数目。</p>\n\n<p><strong>注意</strong> 同一所房屋不能卖给不同的买家，并且允许保留一些房屋不进行出售。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 5, offers = [[0,0,1],[0,2,2],[1,3,2]]\n<strong>输出：</strong>3\n<strong>解释：</strong>\n有 5 所房屋，编号从 0 到 4 ，共有 3 个购买要约。\n将位于 [0,0] 范围内的房屋以 1 金币的价格出售给第 1 位买家，并将位于 [1,3] 范围内的房屋以 2 金币的价格出售给第 3 位买家。\n可以证明我们最多只能获得 3 枚金币。</pre>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 5, offers = [[0,0,1],[0,2,10],[1,3,2]]\n<strong>输出：</strong>10\n<strong>解释：</strong>有 5 所房屋，编号从 0 到 4 ，共有 3 个购买要约。\n将位于 [0,2] 范围内的房屋以 10 金币的价格出售给第 2 位买家。\n可以证明我们最多只能获得 10 枚金币。</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= offers.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>offers[i].length == 3</code></li>\n\t<li><code>0 &lt;= start<sub>i</sub> &lt;= end<sub>i</sub> &lt;= n - 1</code></li>\n\t<li><code>1 &lt;= gold<sub>i</sub> &lt;= 10<sup>3</sup></code></li>\n</ul>\n",
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                "<div class=\"_1l1MA\">Sort the array offers by <code>start<sub>i</sub></code>.</div>",
                "<div class=\"_1l1MA\">Let <code>dp[i]</code> = { the maximum amount of gold if the sold houses are in the range <code>[0 … i]</code> }.</div>"
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