{ "data": { "question": { "questionId": "753", "questionFrontendId": "752", "boundTopicId": null, "title": "Open the Lock", "titleSlug": "open-the-lock", "content": "

You have a lock in front of you with 4 circular wheels. Each wheel has 10 slots: '0', '1', '2', '3', '4', '5', '6', '7', '8', '9'. The wheels can rotate freely and wrap around: for example we can turn '9' to be '0', or '0' to be '9'. Each move consists of turning one wheel one slot.

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The lock initially starts at '0000', a string representing the state of the 4 wheels.

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You are given a list of deadends dead ends, meaning if the lock displays any of these codes, the wheels of the lock will stop turning and you will be unable to open it.

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Given a target representing the value of the wheels that will unlock the lock, return the minimum total number of turns required to open the lock, or -1 if it is impossible.

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Example 1:

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\nInput: deadends = ["0201","0101","0102","1212","2002"], target = "0202"\nOutput: 6\nExplanation: \nA sequence of valid moves would be "0000" -> "1000" -> "1100" -> "1200" -> "1201" -> "1202" -> "0202".\nNote that a sequence like "0000" -> "0001" -> "0002" -> "0102" -> "0202" would be invalid,\nbecause the wheels of the lock become stuck after the display becomes the dead end "0102".\n
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Example 2:

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\nInput: deadends = ["8888"], target = "0009"\nOutput: 1\nExplanation: We can turn the last wheel in reverse to move from "0000" -> "0009".\n
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Example 3:

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\nInput: deadends = ["8887","8889","8878","8898","8788","8988","7888","9888"], target = "8888"\nOutput: -1\nExplanation: We cannot reach the target without getting stuck.\n
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Constraints:

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