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leetcode-problemset/leetcode-cn/originData/maximum-units-on-a-truck.json
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"question": {
"questionId": "1829",
"questionFrontendId": "1710",
"categoryTitle": "Algorithms",
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"title": "Maximum Units on a Truck",
"titleSlug": "maximum-units-on-a-truck",
"content": "<p>You are assigned to put some amount of boxes onto <strong>one truck</strong>. You are given a 2D array <code>boxTypes</code>, where <code>boxTypes[i] = [numberOfBoxes<sub>i</sub>, numberOfUnitsPerBox<sub>i</sub>]</code>:</p>\n\n<ul>\n\t<li><code>numberOfBoxes<sub>i</sub></code> is the number of boxes of type <code>i</code>.</li>\n\t<li><code>numberOfUnitsPerBox<sub>i</sub></code><sub> </sub>is the number of units in each box of the type <code>i</code>.</li>\n</ul>\n\n<p>You are also given an integer <code>truckSize</code>, which is the <strong>maximum</strong> number of <strong>boxes</strong> that can be put on the truck. You can choose any boxes to put on the truck as long as the number&nbsp;of boxes does not exceed <code>truckSize</code>.</p>\n\n<p>Return <em>the <strong>maximum</strong> total number of <strong>units</strong> that can be put on the truck.</em></p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> boxTypes = [[1,3],[2,2],[3,1]], truckSize = 4\n<strong>Output:</strong> 8\n<strong>Explanation:</strong> There are:\n- 1 box of the first type that contains 3 units.\n- 2 boxes of the second type that contain 2 units each.\n- 3 boxes of the third type that contain 1 unit each.\nYou can take all the boxes of the first and second types, and one box of the third type.\nThe total number of units will be = (1 * 3) + (2 * 2) + (1 * 1) = 8.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> boxTypes = [[5,10],[2,5],[4,7],[3,9]], truckSize = 10\n<strong>Output:</strong> 91\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= boxTypes.length &lt;= 1000</code></li>\n\t<li><code>1 &lt;= numberOfBoxes<sub>i</sub>, numberOfUnitsPerBox<sub>i</sub> &lt;= 1000</code></li>\n\t<li><code>1 &lt;= truckSize &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
"translatedTitle": "卡车上的最大单元数",
"translatedContent": "<p>请你将一些箱子装在 <strong>一辆卡车</strong> 上。给你一个二维数组 <code>boxTypes</code> ,其中 <code>boxTypes[i] = [numberOfBoxes<sub>i</sub>, numberOfUnitsPerBox<sub>i</sub>]</code> </p>\n\n<ul>\n\t<li><code>numberOfBoxes<sub>i</sub></code> 是类型 <code>i</code> 的箱子的数量。</li>\n\t<li><code>numberOfUnitsPerBox<sub>i</sub></code><sub> </sub>是类型 <code>i</code> 每个箱子可以装载的单元数量。</li>\n</ul>\n\n<p>整数 <code>truckSize</code> 表示卡车上可以装载 <strong>箱子</strong> 的 <strong>最大数量</strong> 。只要箱子数量不超过 <code>truckSize</code> ,你就可以选择任意箱子装到卡车上。</p>\n\n<p>返回卡车可以装载 <strong>单元</strong> 的 <strong>最大</strong> 总数<em>。</em></p>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>boxTypes = [[1,3],[2,2],[3,1]], truckSize = 4\n<strong>输出:</strong>8\n<strong>解释:</strong>箱子的情况如下:\n- 1 个第一类的箱子,里面含 3 个单元。\n- 2 个第二类的箱子,每个里面含 2 个单元。\n- 3 个第三类的箱子,每个里面含 1 个单元。\n可以选择第一类和第二类的所有箱子以及第三类的一个箱子。\n单元总数 = (1 * 3) + (2 * 2) + (1 * 1) = 8</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>boxTypes = [[5,10],[2,5],[4,7],[3,9]], truckSize = 10\n<strong>输出:</strong>91\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= boxTypes.length <= 1000</code></li>\n\t<li><code>1 <= numberOfBoxes<sub>i</sub>, numberOfUnitsPerBox<sub>i</sub> <= 1000</code></li>\n\t<li><code>1 <= truckSize <= 10<sup>6</sup></code></li>\n</ul>\n",
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"If we have space for at least one box, it's always optimal to put the box with the most units.",
"Sort the box types with the number of units per box non-increasingly.",
"Iterate on the box types and take from each type as many as you can."
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