{ "data": { "question": { "questionId": "906", "questionFrontendId": "874", "boundTopicId": null, "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 can receive a sequence of these three possible types of commands:

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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.

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Return the maximum Euclidean distance that the robot ever gets from the origin squared (i.e. if the distance is 5, return 25).

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Note:

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Example 1:

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\nInput: commands = [4,-1,3], obstacles = []\nOutput: 25\nExplanation: The robot starts at (0, 0):\n1. Move north 4 units to (0, 4).\n2. Turn right.\n3. Move east 3 units to (3, 4).\nThe furthest point the robot ever gets from the origin is (3, 4), which squared is 32 + 42 = 25 units away.\n
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Example 2:

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\nInput: commands = [4,-1,4,-2,4], obstacles = [[2,4]]\nOutput: 65\nExplanation: The robot starts at (0, 0):\n1. Move north 4 units to (0, 4).\n2. Turn right.\n3. Move east 1 unit and get blocked by the obstacle at (2, 4), robot is at (1, 4).\n4. Turn left.\n5. Move north 4 units to (1, 8).\nThe furthest point the robot ever gets from the origin is (1, 8), which squared is 12 + 82 = 65 units away.\n
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Example 3:

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\nInput: commands = [6,-1,-1,6], obstacles = []\nOutput: 36\nExplanation: The robot starts at (0, 0):\n1. Move north 6 units to (0, 6).\n2. Turn right.\n3. Turn right.\n4. Move south 6 units to (0, 0).\nThe furthest point the robot ever gets from the origin is (0, 6), which squared is 62 = 36 units away.\n
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Constraints:

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