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874\. Walking Robot Simulation
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:**
* North means +Y direction.
* East means +X direction.
* South means -Y direction.
* West means -X direction.
**Example 1:**
**Input:** commands = [4,-1,3], obstacles = []
**Output:** 25
**Explanation:**
The robot starts at (0, 0):
1. Move north 4 units to (0, 4).
2. Turn right.
3. 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):
1. Move north 4 units to (0, 4).
2. Turn right.
3. Move east 1 unit and get blocked by the obstacle at (2, 4), robot is at (1, 4).
4. Turn left.
5. 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):
1. Move north 6 units to (0, 6).
2. Turn right.
3. Turn right.
4. 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
* The answer is guaranteed to be less than 231
.
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