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leetcode-problemset/leetcode/originData/minimum-time-visiting-all-points.json
2022-05-02 23:44:12 +08:00

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{
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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&nbsp;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>&nbsp;</p>\n<p><strong>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> -&gt; [2,2] -&gt; [3,3] -&gt; <strong>[3,4] </strong>-&gt; [2,3] -&gt; [1,2] -&gt; [0,1] -&gt; <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>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>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>points.length == n</code></li>\n\t<li><code>1 &lt;= n&nbsp;&lt;= 100</code></li>\n\t<li><code>points[i].length == 2</code></li>\n\t<li><code>-1000&nbsp;&lt;= points[i][0], points[i][1]&nbsp;&lt;= 1000</code></li>\n</ul>\n",
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"hints": [
"To walk from point A to point B there will be an optimal strategy to walk ?",
"Advance in diagonal as possible then after that go in straight line.",
"Repeat the process until visiting all the points."
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