g1201_1300.s1266_minimum_time_visiting_all_points.Solution Maven / Gradle / Ivy
Go to download
Show more of this group Show more artifacts with this name
Show all versions of leetcode-in-java21 Show documentation
Show all versions of leetcode-in-java21 Show documentation
Java-based LeetCode algorithm problem solutions, regularly updated
package g1201_1300.s1266_minimum_time_visiting_all_points;
// #Easy #Array #Math #Geometry #2022_03_14_Time_1_ms_(80.97%)_Space_43.8_MB_(26.31%)
/**
* 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:**
*
* ![](https://assets.leetcode.com/uploads/2019/11/14/1626_example_1.PNG)
*
* **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`
**/
public class Solution {
public int minTimeToVisitAllPoints(int[][] points) {
int minTime = 0;
for (int i = 0; i < points.length - 1; i++) {
minTime += chebyshevDistance(points[i], points[i + 1]);
}
return minTime;
}
private int chebyshevDistance(int[] pointA, int[] pointB) {
return Math.max(Math.abs(pointA[0] - pointB[0]), Math.abs(pointA[1] - pointB[1]));
}
}
© 2015 - 2025 Weber Informatics LLC | Privacy Policy