mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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159 lines
26 KiB
JSON
159 lines
26 KiB
JSON
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"title": "Describe the Painting",
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"content": "<p>There is a long and thin painting that can be represented by a number line. The painting was painted with multiple overlapping segments where each segment was painted with a <strong>unique</strong> color. You are given a 2D integer array <code>segments</code>, where <code>segments[i] = [start<sub>i</sub>, end<sub>i</sub>, color<sub>i</sub>]</code> represents the <strong>half-closed segment</strong> <code>[start<sub>i</sub>, end<sub>i</sub>)</code> with <code>color<sub>i</sub></code> as the color.</p>\n\n<p>The colors in the overlapping segments of the painting were <strong>mixed</strong> when it was painted. When two or more colors mix, they form a new color that can be represented as a <strong>set</strong> of mixed colors.</p>\n\n<ul>\n\t<li>For example, if colors <code>2</code>, <code>4</code>, and <code>6</code> are mixed, then the resulting mixed color is <code>{2,4,6}</code>.</li>\n</ul>\n\n<p>For the sake of simplicity, you should only output the <strong>sum</strong> of the elements in the set rather than the full set.</p>\n\n<p>You want to <strong>describe</strong> the painting with the <strong>minimum</strong> number of non-overlapping <strong>half-closed segments</strong> of these mixed colors. These segments can be represented by the 2D array <code>painting</code> where <code>painting[j] = [left<sub>j</sub>, right<sub>j</sub>, mix<sub>j</sub>]</code> describes a <strong>half-closed segment</strong> <code>[left<sub>j</sub>, right<sub>j</sub>)</code> with the mixed color <strong>sum</strong> of <code>mix<sub>j</sub></code>.</p>\n\n<ul>\n\t<li>For example, the painting created with <code>segments = [[1,4,5],[1,7,7]]</code> can be described by <code>painting = [[1,4,12],[4,7,7]]</code> because:\n\n\t<ul>\n\t\t<li><code>[1,4)</code> is colored <code>{5,7}</code> (with a sum of <code>12</code>) from both the first and second segments.</li>\n\t\t<li><code>[4,7)</code> is colored <code>{7}</code> from only the second segment.</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>Return <em>the 2D array </em><code>painting</code><em> describing the finished painting (excluding any parts that are <strong>not </strong>painted). You may return the segments in <strong>any order</strong></em>.</p>\n\n<p>A <strong>half-closed segment</strong> <code>[a, b)</code> is the section of the number line between points <code>a</code> and <code>b</code> <strong>including</strong> point <code>a</code> and <strong>not including</strong> point <code>b</code>.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/18/1.png\" style=\"width: 529px; height: 241px;\" />\n<pre>\n<strong>Input:</strong> segments = [[1,4,5],[4,7,7],[1,7,9]]\n<strong>Output:</strong> [[1,4,14],[4,7,16]]\n<strong>Explanation: </strong>The painting can be described as follows:\n- [1,4) is colored {5,9} (with a sum of 14) from the first and third segments.\n- [4,7) is colored {7,9} (with a sum of 16) from the second and third segments.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/18/2.png\" style=\"width: 532px; height: 219px;\" />\n<pre>\n<strong>Input:</strong> segments = [[1,7,9],[6,8,15],[8,10,7]]\n<strong>Output:</strong> [[1,6,9],[6,7,24],[7,8,15],[8,10,7]]\n<strong>Explanation: </strong>The painting can be described as follows:\n- [1,6) is colored 9 from the first segment.\n- [6,7) is colored {9,15} (with a sum of 24) from the first and second segments.\n- [7,8) is colored 15 from the second segment.\n- [8,10) is colored 7 from the third segment.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/04/c1.png\" style=\"width: 529px; height: 289px;\" />\n<pre>\n<strong>Input:</strong> segments = [[1,4,5],[1,4,7],[4,7,1],[4,7,11]]\n<strong>Output:</strong> [[1,4,12],[4,7,12]]\n<strong>Explanation: </strong>The painting can be described as follows:\n- [1,4) is colored {5,7} (with a sum of 12) from the first and second segments.\n- [4,7) is colored {1,11} (with a sum of 12) from the third and fourth segments.\nNote that returning a single segment [1,7) is incorrect because the mixed color sets are different.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= segments.length <= 2 * 10<sup>4</sup></code></li>\n\t<li><code>segments[i].length == 3</code></li>\n\t<li><code>1 <= start<sub>i</sub> < end<sub>i</sub> <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= color<sub>i</sub> <= 10<sup>9</sup></code></li>\n\t<li>Each <code>color<sub>i</sub></code> is distinct.</li>\n</ul>\n",
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"translatedTitle": "描述绘画结果",
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"translatedContent": "<p>给你一个细长的画，用数轴表示。这幅画由若干有重叠的线段表示，每个线段有 <strong>独一无二</strong> 的颜色。给你二维整数数组 <code>segments</code> ，其中 <code>segments[i] = [start<sub>i</sub>, end<sub>i</sub>, color<sub>i</sub>]</code> 表示线段为 <strong>半开区间</strong> <code>[start<sub>i</sub>, end<sub>i</sub>)</code> 且颜色为 <code>color<sub>i</sub></code> 。</p>\n\n<p>线段间重叠部分的颜色会被 <strong>混合</strong> 。如果有两种或者更多颜色混合时，它们会形成一种新的颜色，用一个 <strong>集合</strong> 表示这个混合颜色。</p>\n\n<ul>\n\t<li>比方说，如果颜色 <code>2</code> ，<code>4</code> 和 <code>6</code> 被混合，那么结果颜色为 <code>{2,4,6}</code> 。</li>\n</ul>\n\n<p>为了简化题目，你不需要输出整个集合，只需要用集合中所有元素的 <strong>和</strong> 来表示颜色集合。</p>\n\n<p>你想要用 <strong>最少数目</strong> 不重叠 <strong>半开区间</strong> 来 <b>表示</b> 这幅混合颜色的画。这些线段可以用二维数组 <code>painting</code> 表示，其中 <code>painting[j] = [left<sub>j</sub>, right<sub>j</sub>, mix<sub>j</sub>]</code> 表示一个 <strong>半开区间</strong><code>[left<sub>j</sub>, right<sub>j</sub>)</code> 的颜色 <strong>和</strong> 为 <code>mix<sub>j</sub></code> 。</p>\n\n<ul>\n\t<li>比方说，这幅画由 <code>segments = [[1,4,5],[1,7,7]]</code> 组成，那么它可以表示为 <code>painting = [[1,4,12],[4,7,7]]</code> ，因为：\n\n\t<ul>\n\t\t<li><code>[1,4)</code> 由颜色 <code>{5,7}</code> 组成（和为 <code>12</code>），分别来自第一个线段和第二个线段。</li>\n\t\t<li><code>[4,7)</code> 由颜色 <code>{7}</code> 组成，来自第二个线段。</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>请你返回二维数组 <code>painting</code> ，它表示最终绘画的结果（<strong>没有</strong> 被涂色的部分不出现在结果中）。你可以按 <strong>任意顺序</strong> 返回最终数组的结果。</p>\n\n<p><strong>半开区间 </strong><code>[a, b)</code> 是数轴上点 <code>a</code> 和点 <code>b</code> 之间的部分，<strong>包含 </strong>点 <code>a</code> 且 <strong>不包含</strong> 点 <code>b</code> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/18/1.png\" style=\"width: 529px; height: 241px;\">\n<pre><b>输入：</b>segments = [[1,4,5],[4,7,7],[1,7,9]]\n<b>输出：</b>[[1,4,14],[4,7,16]]\n<strong>解释：</strong>绘画借故偶可以表示为：\n- [1,4) 颜色为 {5,9} （和为 14），分别来自第一和第二个线段。\n- [4,7) 颜色为 {7,9} （和为 16），分别来自第二和第三个线段。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/18/2.png\" style=\"width: 532px; height: 219px;\">\n<pre><b>输入：</b>segments = [[1,7,9],[6,8,15],[8,10,7]]\n<b>输出：</b>[[1,6,9],[6,7,24],[7,8,15],[8,10,7]]\n<b>解释：</b>绘画结果可以以表示为：\n- [1,6) 颜色为 9 ，来自第一个线段。\n- [6,7) 颜色为 {9,15} （和为 24），来自第一和第二个线段。\n- [7,8) 颜色为 15 ，来自第二个线段。\n- [8,10) 颜色为 7 ，来自第三个线段。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/04/c1.png\" style=\"width: 529px; height: 289px;\">\n<pre><b>输入：</b>segments = [[1,4,5],[1,4,7],[4,7,1],[4,7,11]]\n<b>输出：</b>[[1,4,12],[4,7,12]]\n<strong>解释：</strong>绘画结果可以表示为：\n- [1,4) 颜色为 {5,7} （和为 12），分别来自第一和第二个线段。\n- [4,7) 颜色为 {1,11} （和为 12），分别来自第三和第四个线段。\n注意，只返回一个单独的线段 [1,7) 是不正确的，因为混合颜色的集合不相同。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= segments.length <= 2 * 10<sup>4</sup></code></li>\n\t<li><code>segments[i].length == 3</code></li>\n\t<li><code>1 <= start<sub>i</sub> < end<sub>i</sub> <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= color<sub>i</sub> <= 10<sup>9</sup></code></li>\n\t<li>每种颜色 <code>color<sub>i</sub></code> 互不相同。</li>\n</ul>\n",
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