leetcode-problemset/leetcode-cn/originData/minimum-lines-to-represent-a-line-chart.json

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            "title": "Minimum Lines to Represent a Line Chart",
            "titleSlug": "minimum-lines-to-represent-a-line-chart",
            "content": "<p>You are given a 2D integer array <code>stockPrices</code> where <code>stockPrices[i] = [day<sub>i</sub>, price<sub>i</sub>]</code> indicates the price of the stock on day <code>day<sub>i</sub></code> is <code>price<sub>i</sub></code>. A <strong>line chart</strong> is created from the array by plotting the points on an XY plane with the X-axis representing the day and the Y-axis representing the price and connecting adjacent points. One such example is shown below:</p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/30/1920px-pushkin_population_historysvg.png\" style=\"width: 500px; height: 313px;\" />\n<p>Return <em>the <strong>minimum number of lines</strong> needed to represent the line chart</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/30/ex0.png\" style=\"width: 400px; height: 400px;\" />\n<pre>\n<strong>Input:</strong> stockPrices = [[1,7],[2,6],[3,5],[4,4],[5,4],[6,3],[7,2],[8,1]]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong>\nThe diagram above represents the input, with the X-axis representing the day and Y-axis representing the price.\nThe following 3 lines can be drawn to represent the line chart:\n- Line 1 (in red) from (1,7) to (4,4) passing through (1,7), (2,6), (3,5), and (4,4).\n- Line 2 (in blue) from (4,4) to (5,4).\n- Line 3 (in green) from (5,4) to (8,1) passing through (5,4), (6,3), (7,2), and (8,1).\nIt can be shown that it is not possible to represent the line chart using less than 3 lines.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/30/ex1.png\" style=\"width: 325px; height: 325px;\" />\n<pre>\n<strong>Input:</strong> stockPrices = [[3,4],[1,2],[7,8],[2,3]]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong>\nAs shown in the diagram above, the line chart can be represented with a single line.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= stockPrices.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>stockPrices[i].length == 2</code></li>\n\t<li><code>1 &lt;= day<sub>i</sub>, price<sub>i</sub> &lt;= 10<sup>9</sup></code></li>\n\t<li>All <code>day<sub>i</sub></code> are <strong>distinct</strong>.</li>\n</ul>\n",
            "translatedTitle": "表示一个折线图的最少线段数",
            "translatedContent": "<p>给你一个二维整数数组&nbsp;<code>stockPrices</code> ，其中&nbsp;<code>stockPrices[i] = [day<sub>i</sub>, price<sub>i</sub>]</code>&nbsp;表示股票在&nbsp;<code>day<sub>i</sub></code>&nbsp;的价格为&nbsp;<code>price<sub>i</sub></code>&nbsp;。<strong>折线图</strong>&nbsp;是一个二维平面上的若干个点组成的图，横坐标表示日期，纵坐标表示价格，折线图由相邻的点连接而成。比方说下图是一个例子：</p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/30/1920px-pushkin_population_historysvg.png\" style=\"width: 500px; height: 313px;\">\n<p>请你返回要表示一个折线图所需要的 <strong>最少线段数</strong>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/30/ex0.png\" style=\"width: 400px; height: 400px;\"></p>\n\n<pre><b>输入：</b>stockPrices = [[1,7],[2,6],[3,5],[4,4],[5,4],[6,3],[7,2],[8,1]]\n<b>输出：</b>3\n<strong>解释：</strong>\n上图为输入对应的图，横坐标表示日期，纵坐标表示价格。\n以下 3 个线段可以表示折线图：\n- 线段 1 （红色）从 (1,7) 到 (4,4) ，经过 (1,7) ，(2,6) ，(3,5) 和 (4,4) 。\n- 线段 2 （蓝色）从 (4,4) 到 (5,4) 。\n- 线段 3 （绿色）从 (5,4) 到 (8,1) ，经过 (5,4) ，(6,3) ，(7,2) 和 (8,1) 。\n可以证明，无法用少于 3 条线段表示这个折线图。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/30/ex1.png\" style=\"width: 325px; height: 325px;\"></p>\n\n<pre><b>输入：</b>stockPrices = [[3,4],[1,2],[7,8],[2,3]]\n<b>输出：</b>1\n<strong>解释：</strong>\n如上图所示，折线图可以用一条线段表示。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= stockPrices.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>stockPrices[i].length == 2</code></li>\n\t<li><code>1 &lt;= day<sub>i</sub>, price<sub>i</sub> &lt;= 10<sup>9</sup></code></li>\n\t<li>所有&nbsp;<code>day<sub>i</sub></code>&nbsp;<strong>互不相同</strong>&nbsp;。</li>\n</ul>\n",
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