Package g1201_1300.s1266_minimum_time_visiting_all_points

Class Solution

java.lang.Object
g1201_1300.s1266_minimum_time_visiting_all_points.Solution
public class Solution extends java.lang.Object
1266 - Minimum Time Visiting All Points.

Easy

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

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    minTimeToVisitAllPoints(int[][] points)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • minTimeToVisitAllPoints

      public int minTimeToVisitAllPoints(int[][] points)