1266. Minimum Time Visiting All Points

https://leetcode.com/problems/minimum-time-visiting-all-points

Description

On a 2D plane, there are n points with integer coordinates points[i] = [xi, yi]. Return the minimum time in seconds to visit all the points in the order given by points.

You can move according to these rules:

• In 1 second, you can either:

  • move vertically by one unit,

  • move horizontally by one unit, or

  • move diagonally sqrt(2) units (in other words, move one unit vertically then one unit horizontally in 1 second).

• You have to visit the points in the same order as they appear in the array.

• You are allowed to pass through points that appear later in the order, but these do not count as visits.

Example 1:

**Input:** points = [[1,1],[3,4],[-1,0]]
**Output:** 7
**Explanation:** One optimal path is **[1,1]** -> [2,2] -> [3,3] -> **[3,4]** -> [2,3] -> [1,2] -> [0,1] -> **[-1,0]**   
Time from [1,1] to [3,4] = 3 seconds 
Time from [3,4] to [-1,0] = 4 seconds
Total time = 7 seconds

Example 2:

**Input:** points = [[3,2],[-2,2]]
**Output:** 5

Constraints:

• points.length == n

• 1 <= n <= 100

• points[i].length == 2

• -1000 <= points[i][0], points[i][1] <= 1000

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