Medium
A robot on an infinite XY-plane starts at point (0, 0)
facing north. The robot can receive a sequence of these three possible types of commands
:
-2
: Turn left 90
degrees.-1
: Turn right 90
degrees.1 <= k <= 9
: Move forward k
units, one unit at a time.Some of the grid squares are obstacles
. The ith
obstacle is at grid point obstacles[i] = (xi, yi)
. If the robot runs into an obstacle, then it will instead stay in its current location and move on to the next command.
Return the maximum Euclidean distance that the robot ever gets from the origin squared (i.e. if the distance is 5
, return 25
).
Note:
Example 1:
Input: commands = [4,-1,3], obstacles = []
Output: 25
Explanation:
The robot starts at (0, 0):
Move north 4 units to (0, 4).
Turn right.
Move east 3 units to (3, 4).
The furthest point the robot ever gets from the origin is (3, 4), which squared is 32 + 42 = 25 units away.
Example 2:
Input: commands = [4,-1,4,-2,4], obstacles = [[2,4]]
Output: 65
Explanation:
The robot starts at (0, 0):
Move north 4 units to (0, 4).
Turn right.
Move east 1 unit and get blocked by the obstacle at (2, 4), robot is at (1, 4).
Turn left.
Move north 4 units to (1, 8).
The furthest point the robot ever gets from the origin is (1, 8), which squared is 12 + 82 = 65 units away.
Example 3:
Input: commands = [6,-1,-1,6], obstacles = []
Output: 36
Explanation:
The robot starts at (0, 0):
Move north 6 units to (0, 6).
Turn right.
Turn right.
Move south 6 units to (0, 0).
The furthest point the robot ever gets from the origin is (0, 6), which squared is 62 = 36 units away.
Constraints:
1 <= commands.length <= 104
commands[i]
is either -2
, -1
, or an integer in the range [1, 9]
.0 <= obstacles.length <= 104
-3 * 104 <= xi, yi <= 3 * 104
231
.class Solution {
internal class Point(var row: Int, var column: Int) {
override fun equals(other: Any?): Boolean {
if (other !is Point) {
return false
}
return other.row == row && other.column == column
}
override fun hashCode(): Int {
return row * column * 31
}
}
internal enum class Direction(val x: Int, val y: Int) {
NORTH(0, 1) {
override fun turnLeft(): Direction {
return WEST
}
override fun turnRight(): Direction {
return EAST
}
},
EAST(1, 0) {
override fun turnLeft(): Direction {
return NORTH
}
override fun turnRight(): Direction {
return SOUTH
}
},
SOUTH(0, -1) {
override fun turnLeft(): Direction {
return EAST
}
override fun turnRight(): Direction {
return WEST
}
},
WEST(-1, 0) {
override fun turnLeft(): Direction {
return SOUTH
}
override fun turnRight(): Direction {
return NORTH
}
}, ;
abstract fun turnLeft(): Direction
abstract fun turnRight(): Direction
fun next(p: Point): Point {
return Point(p.row + x, p.column + y)
}
}
fun robotSim(commands: IntArray, obstacles: Array<IntArray>): Int {
val set: MutableSet<Point> = HashSet()
for (i in obstacles.indices) {
val p = Point(obstacles[i][0], obstacles[i][1])
set.add(p)
}
var direction = Direction.NORTH
var p = Point(0, 0)
var maxDistance = 0
for (i in commands.indices) {
val command = commands[i]
if (command == -1) {
direction = direction.turnRight()
continue
}
if (command == -2) {
direction = direction.turnLeft()
continue
}
for (j in 0 until command) {
val destination = direction.next(p)
if (set.contains(destination)) {
break
}
p = destination
}
maxDistance = maxDistance.coerceAtLeast(p.row * p.row + p.column * p.column)
}
return maxDistance
}
}