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:
1
second, you can either:
sqrt(2)
units (in other words, move one unit vertically then one unit horizontally in 1
second).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
class Solution {
fun minTimeToVisitAllPoints(points: Array<IntArray>): Int {
var minTime = 0
for (i in 0 until points.size - 1) {
minTime += chebyshevDistance(points[i], points[i + 1])
}
return minTime
}
private fun chebyshevDistance(pointA: IntArray, pointB: IntArray): Int {
return Math.max(Math.abs(pointA[0] - pointB[0]), Math.abs(pointA[1] - pointB[1]))
}
}