{ "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:

\n\n\n\n

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.

\n\n

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).

\n\n

Note:

\n\n\n\n

 

\n

Example 1:

\n\n
\n

Input: commands = [4,-1,3], obstacles = []

\n\n

Output: 25

\n\n

Explanation:

\n\n

The robot starts at (0, 0):

\n\n
    \n\t
  1. Move north 4 units to (0, 4).
  2. \n\t
  3. Turn right.
  4. \n\t
  5. Move east 3 units to (3, 4).
  6. \n
\n\n

The furthest point the robot ever gets from the origin is (3, 4), which squared is 32 + 42 = 25 units away.

\n
\n\n

Example 2:

\n\n
\n

Input: commands = [4,-1,4,-2,4], obstacles = [[2,4]]

\n\n

Output: 65

\n\n

Explanation:

\n\n

The robot starts at (0, 0):

\n\n
    \n\t
  1. Move north 4 units to (0, 4).
  2. \n\t
  3. Turn right.
  4. \n\t
  5. Move east 1 unit and get blocked by the obstacle at (2, 4), robot is at (1, 4).
  6. \n\t
  7. Turn left.
  8. \n\t
  9. Move north 4 units to (1, 8).
  10. \n
\n\n

The furthest point the robot ever gets from the origin is (1, 8), which squared is 12 + 82 = 65 units away.

\n
\n\n

Example 3:

\n\n
\n

Input: commands = [6,-1,-1,6], obstacles = [[0,0]]

\n\n

Output: 36

\n\n

Explanation:

\n\n

The robot starts at (0, 0):

\n\n
    \n\t
  1. Move north 6 units to (0, 6).
  2. \n\t
  3. Turn right.
  4. \n\t
  5. Turn right.
  6. \n\t
  7. Move south 5 units and get blocked by the obstacle at (0,0), robot is at (0, 1).
  8. \n
\n\n

The furthest point the robot ever gets from the origin is (0, 6), which squared is 62 = 36 units away.

\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "模拟行走机器人", "translatedContent": "

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

\n\n\n\n

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)

\n\n

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 最大欧式距离平方 。(即,如果距离为 5 ,则返回 25

\n\n
\n
\n
\n
\n
 
\n
\n\n
\n

注意:

\n\n
    \n\t
  • 北方表示 +Y 方向。
  • \n\t
  • 东方表示 +X 方向。
  • \n\t
  • 南方表示 -Y 方向。
  • \n\t
  • 西方表示 -X 方向。
  • \n\t
  • 原点 [0,0] 可能会有障碍物。
  • \n
\n
\n
\n
\n
\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:

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