mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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192 lines
18 KiB
JSON
192 lines
18 KiB
JSON
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"questionId": "2367",
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"title": "Minimum Lines to Represent a Line Chart",
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"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> </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> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= stockPrices.length <= 10<sup>5</sup></code></li>\n\t<li><code>stockPrices[i].length == 2</code></li>\n\t<li><code>1 <= day<sub>i</sub>, price<sub>i</sub> <= 10<sup>9</sup></code></li>\n\t<li>All <code>day<sub>i</sub></code> are <strong>distinct</strong>.</li>\n</ul>\n",
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"code": "class Solution(object):\n def minimumLines(self, stockPrices):\n \"\"\"\n :type stockPrices: List[List[int]]\n :rtype: int\n \"\"\"\n ",
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"code": "# @param {Integer[][]} stock_prices\n# @return {Integer}\ndef minimum_lines(stock_prices)\n \nend",
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"code": "impl Solution {\n pub fn minimum_lines(stock_prices: Vec<Vec<i32>>) -> i32 {\n \n }\n}",
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"When will three adjacent points lie on the same line? How can we generalize this for all points?",
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"Will calculating the slope of lines connecting adjacent points help us find the answer?"
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