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Minimum Time Visiting All Points

On a 2D plane, there are n points with integer coordinates points[i] = [xi, yi].

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:

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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