mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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184 lines
22 KiB
JSON
184 lines
22 KiB
JSON
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"title": "Minimum Time Visiting All Points",
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"content": "<p>On a 2D plane, there are <code>n</code> points with integer coordinates <code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code>. Return <em>the <strong>minimum time</strong> in seconds to visit all the points in the order given by </em><code>points</code>.</p>\n\n<p>You can move according to these rules:</p>\n\n<ul>\n\t<li>In <code>1</code> second, you can either:\n\n\t<ul>\n\t\t<li>move vertically by one unit,</li>\n\t\t<li>move horizontally by one unit, or</li>\n\t\t<li>move diagonally <code>sqrt(2)</code> units (in other words, move one unit vertically then one unit horizontally in <code>1</code> second).</li>\n\t</ul>\n\t</li>\n\t<li>You have to visit the points in the same order as they appear in the array.</li>\n\t<li>You are allowed to pass through points that appear later in the order, but these do not count as visits.</li>\n</ul>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2019/11/14/1626_example_1.PNG\" style=\"width: 500px; height: 428px;\" />\n<pre>\n<strong>Input:</strong> points = [[1,1],[3,4],[-1,0]]\n<strong>Output:</strong> 7\n<strong>Explanation: </strong>One optimal path is <strong>[1,1]</strong> -> [2,2] -> [3,3] -> <strong>[3,4] </strong>-> [2,3] -> [1,2] -> [0,1] -> <strong>[-1,0]</strong> \nTime from [1,1] to [3,4] = 3 seconds \nTime from [3,4] to [-1,0] = 4 seconds\nTotal time = 7 seconds</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> points = [[3,2],[-2,2]]\n<strong>Output:</strong> 5\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>points.length == n</code></li>\n\t<li><code>1 <= n <= 100</code></li>\n\t<li><code>points[i].length == 2</code></li>\n\t<li><code>-1000 <= points[i][0], points[i][1] <= 1000</code></li>\n</ul>\n",
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"translatedTitle": "访问所有点的最小时间",
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"translatedContent": "<p>平面上有 <code>n</code> 个点，点的位置用整数坐标表示 <code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code> 。请你计算访问所有这些点需要的 <strong>最小时间</strong>（以秒为单位）。</p>\n\n<p>你需要按照下面的规则在平面上移动：</p>\n\n<ul>\n\t<li>每一秒内，你可以：\n\t<ul>\n\t\t<li>沿水平方向移动一个单位长度，或者</li>\n\t\t<li>沿竖直方向移动一个单位长度，或者</li>\n\t\t<li>跨过对角线移动 <code>sqrt(2)</code> 个单位长度（可以看作在一秒内向水平和竖直方向各移动一个单位长度）。</li>\n\t</ul>\n\t</li>\n\t<li>必须按照数组中出现的顺序来访问这些点。</li>\n\t<li>在访问某个点时，可以经过该点后面出现的点，但经过的那些点不算作有效访问。</li>\n</ul>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2019/11/24/1626_example_1.png\" style=\"height: 428px; width: 500px;\" /></p>\n\n<pre>\n<strong>输入：</strong>points = [[1,1],[3,4],[-1,0]]\n<strong>输出：</strong>7\n<strong>解释：</strong>一条最佳的访问路径是： <strong>[1,1]</strong> -> [2,2] -> [3,3] -> <strong>[3,4] </strong>-> [2,3] -> [1,2] -> [0,1] -> <strong>[-1,0]</strong> \n从 [1,1] 到 [3,4] 需要 3 秒 \n从 [3,4] 到 [-1,0] 需要 4 秒\n一共需要 7 秒</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>points = [[3,2],[-2,2]]\n<strong>输出：</strong>5\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>points.length == n</code></li>\n\t<li><code>1 <= n <= 100</code></li>\n\t<li><code>points[i].length == 2</code></li>\n\t<li><code>-1000 <= points[i][0], points[i][1] <= 1000</code></li>\n</ul>\n",
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"To walk from point A to point B there will be an optimal strategy to walk ?",
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"Advance in diagonal as possible then after that go in straight line.",
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