{ "data": { "question": { "questionId": "906", "questionFrontendId": "874", "categoryTitle": "Algorithms", "boundTopicId": 1375, "title": "Walking Robot Simulation", "titleSlug": "walking-robot-simulation", "content": "
A robot on an infinite XY-plane starts at point (0, 0)
facing north. The robot receives an array of integers commands
, which represents a sequence of moves that it needs to execute. There are only three possible types of instructions the robot can receive:
-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, it will stay in its current location (on the block adjacent to the obstacle) and move onto the next command.
Return the maximum squared Euclidean distance that the robot reaches at any point in its path (i.e. if the distance is 5
, return 25
).
Note:
\n\n(0, 0)
. If this happens, the robot will ignore the obstacle until it has moved off the origin. However, it will be unable to return to (0, 0)
due to the obstacle.\n
Example 1:
\n\nInput: commands = [4,-1,3], obstacles = []
\n\nOutput: 25
\n\nExplanation:
\n\nThe robot starts at (0, 0)
:
(0, 4)
.(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:
\n\nInput: commands = [4,-1,4,-2,4], obstacles = [[2,4]]
\n\nOutput: 65
\n\nExplanation:
\n\nThe robot starts at (0, 0)
:
(0, 4)
.(2, 4)
, robot is at (1, 4)
.(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:
\n\nInput: commands = [6,-1,-1,6], obstacles = [[0,0]]
\n\nOutput: 36
\n\nExplanation:
\n\nThe robot starts at (0, 0)
:
(0, 6)
.(0,0)
, robot is at (0, 1)
.The furthest point the robot ever gets from the origin is (0, 6)
, which squared is 62 = 36
units away.
\n
Constraints:
\n\n1 <= 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
.机器人在一个无限大小的 XY 网格平面上行走,从点 (0, 0)
处开始出发,面向北方。该机器人可以接收以下三种类型的命令 commands
:
-2
:向左转 90
度-1
:向右转 90
度1 <= x <= 9
:向前移动 x
个单位长度在网格上有一些格子被视为障碍物 obstacles
。第 i
个障碍物位于网格点 obstacles[i] = (xi, yi)
。
机器人无法走到障碍物上,它将会停留在障碍物的前一个网格方块上,并继续执行下一个命令。
\n\n返回机器人距离原点的 最大欧式距离 的 平方 。(即,如果距离为 5
,则返回 25
)
注意:
\n\n\n\n
示例 1:
\n\n\n输入:commands = [4,-1,3], obstacles = []\n输出:25\n解释:\n机器人开始位于 (0, 0):\n1. 向北移动 4 个单位,到达 (0, 4)\n2. 右转\n3. 向东移动 3 个单位,到达 (3, 4)\n距离原点最远的是 (3, 4) ,距离为 32 + 42 = 25\n\n
示例 2:
\n\n\n输入:commands = [4,-1,4,-2,4], obstacles = [[2,4]]\n输出:65\n解释:机器人开始位于 (0, 0):\n1. 向北移动 4 个单位,到达 (0, 4)\n2. 右转\n3. 向东移动 1 个单位,然后被位于 (2, 4) 的障碍物阻挡,机器人停在 (1, 4)\n4. 左转\n5. 向北走 4 个单位,到达 (1, 8)\n距离原点最远的是 (1, 8) ,距离为 12 + 82 = 65\n\n
示例 3:
\n\n\n输入:commands = [6,-1,-1,6], obstacles = []\n输出:36\n解释:机器人开始位于 (0, 0):\n1. 向北移动 6 个单位,到达 (0, 6).\n2. 右转\n3. 右转\n4. 向南移动 6 个单位,到达 (0, 0).\n机器人距离原点最远的点是 (0, 6),其距离的平方是 62 = 36 个单位。\n\n
提示:
\n\n1 <= commands.length <= 104
commands[i]
的值可以取 -2
、-1
或者是范围 [1, 9]
内的一个整数。0 <= obstacles.length <= 104
-3 * 104 <= xi, yi <= 3 * 104
231
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