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| 1 | +<h2><a href="https://leetcode.com/problems/minimum-time-visiting-all-points/">1266. Minimum Time Visiting All Points</a></h2><h3>Easy</h3><hr><div><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> |
| 2 | + |
| 3 | +<p>You can move according to these rules:</p> |
| 4 | + |
| 5 | +<ul> |
| 6 | + <li>In <code>1</code> second, you can either: |
| 7 | + |
| 8 | + <ul> |
| 9 | + <li>move vertically by one unit,</li> |
| 10 | + <li>move horizontally by one unit, or</li> |
| 11 | + <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> |
| 12 | + </ul> |
| 13 | + </li> |
| 14 | + <li>You have to visit the points in the same order as they appear in the array.</li> |
| 15 | + <li>You are allowed to pass through points that appear later in the order, but these do not count as visits.</li> |
| 16 | +</ul> |
| 17 | + |
| 18 | +<p> </p> |
| 19 | +<p><strong class="example">Example 1:</strong></p> |
| 20 | +<img alt="" src="https://assets.leetcode.com/uploads/2019/11/14/1626_example_1.PNG" style="width: 500px; height: 428px;"> |
| 21 | +<pre><strong>Input:</strong> points = [[1,1],[3,4],[-1,0]] |
| 22 | +<strong>Output:</strong> 7 |
| 23 | +<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> |
| 24 | +Time from [1,1] to [3,4] = 3 seconds |
| 25 | +Time from [3,4] to [-1,0] = 4 seconds |
| 26 | +Total time = 7 seconds</pre> |
| 27 | + |
| 28 | +<p><strong class="example">Example 2:</strong></p> |
| 29 | + |
| 30 | +<pre><strong>Input:</strong> points = [[3,2],[-2,2]] |
| 31 | +<strong>Output:</strong> 5 |
| 32 | +</pre> |
| 33 | + |
| 34 | +<p> </p> |
| 35 | +<p><strong>Constraints:</strong></p> |
| 36 | + |
| 37 | +<ul> |
| 38 | + <li><code>points.length == n</code></li> |
| 39 | + <li><code>1 <= n <= 100</code></li> |
| 40 | + <li><code>points[i].length == 2</code></li> |
| 41 | + <li><code>-1000 <= points[i][0], points[i][1] <= 1000</code></li> |
| 42 | +</ul> |
| 43 | +</div> |
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