leetcode-problemset/leetcode-cn/originData/open-the-lock.json

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            "questionId": "753",
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            "categoryTitle": "Algorithms",
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            "title": "Open the Lock",
            "titleSlug": "open-the-lock",
            "content": "<p>You have a lock in front of you with 4 circular wheels. Each wheel has 10 slots: <code>&#39;0&#39;, &#39;1&#39;, &#39;2&#39;, &#39;3&#39;, &#39;4&#39;, &#39;5&#39;, &#39;6&#39;, &#39;7&#39;, &#39;8&#39;, &#39;9&#39;</code>. The wheels can rotate freely and wrap around: for example we can turn <code>&#39;9&#39;</code> to be <code>&#39;0&#39;</code>, or <code>&#39;0&#39;</code> to be <code>&#39;9&#39;</code>. Each move consists of turning one wheel one slot.</p>\n\n<p>The lock initially starts at <code>&#39;0000&#39;</code>, a string representing the state of the 4 wheels.</p>\n\n<p>You are given a list of <code>deadends</code> 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.</p>\n\n<p>Given a <code>target</code> 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.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> deadends = [&quot;0201&quot;,&quot;0101&quot;,&quot;0102&quot;,&quot;1212&quot;,&quot;2002&quot;], target = &quot;0202&quot;\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> \nA sequence of valid moves would be &quot;0000&quot; -&gt; &quot;1000&quot; -&gt; &quot;1100&quot; -&gt; &quot;1200&quot; -&gt; &quot;1201&quot; -&gt; &quot;1202&quot; -&gt; &quot;0202&quot;.\nNote that a sequence like &quot;0000&quot; -&gt; &quot;0001&quot; -&gt; &quot;0002&quot; -&gt; &quot;0102&quot; -&gt; &quot;0202&quot; would be invalid,\nbecause the wheels of the lock become stuck after the display becomes the dead end &quot;0102&quot;.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> deadends = [&quot;8888&quot;], target = &quot;0009&quot;\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> We can turn the last wheel in reverse to move from &quot;0000&quot; -&gt; &quot;0009&quot;.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> deadends = [&quot;8887&quot;,&quot;8889&quot;,&quot;8878&quot;,&quot;8898&quot;,&quot;8788&quot;,&quot;8988&quot;,&quot;7888&quot;,&quot;9888&quot;], target = &quot;8888&quot;\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> We cannot reach the target without getting stuck.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= deadends.length &lt;= 500</code></li>\n\t<li><code>deadends[i].length == 4</code></li>\n\t<li><code>target.length == 4</code></li>\n\t<li>target <strong>will not be</strong> in the list <code>deadends</code>.</li>\n\t<li><code>target</code> and <code>deadends[i]</code> consist of digits only.</li>\n</ul>\n",
            "translatedTitle": "打开转盘锁",
            "translatedContent": "<p>你有一个带有四个圆形拨轮的转盘锁。每个拨轮都有10个数字： <code>'0', '1', '2', '3', '4', '5', '6', '7', '8', '9'</code> 。每个拨轮可以自由旋转：例如把 <code>'9'</code> 变为&nbsp;<code>'0'</code>，<code>'0'</code> 变为 <code>'9'</code> 。每次旋转都只能旋转一个拨轮的一位数字。</p>\n\n<p>锁的初始数字为 <code>'0000'</code> ，一个代表四个拨轮的数字的字符串。</p>\n\n<p>列表 <code>deadends</code> 包含了一组死亡数字，一旦拨轮的数字和列表里的任何一个元素相同，这个锁将会被永久锁定，无法再被旋转。</p>\n\n<p>字符串 <code>target</code> 代表可以解锁的数字，你需要给出解锁需要的最小旋转次数，如果无论如何不能解锁，返回 <code>-1</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<strong>输入：</strong>deadends = [\"0201\",\"0101\",\"0102\",\"1212\",\"2002\"], target = \"0202\"\n<strong>输出：</strong>6\n<strong>解释：</strong>\n可能的移动序列为 \"0000\" -&gt; \"1000\" -&gt; \"1100\" -&gt; \"1200\" -&gt; \"1201\" -&gt; \"1202\" -&gt; \"0202\"。\n注意 \"0000\" -&gt; \"0001\" -&gt; \"0002\" -&gt; \"0102\" -&gt; \"0202\" 这样的序列是不能解锁的，\n因为当拨动到 \"0102\" 时这个锁就会被锁定。\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> deadends = [\"8888\"], target = \"0009\"\n<strong>输出：</strong>1\n<strong>解释：</strong>把最后一位反向旋转一次即可 \"0000\" -&gt; \"0009\"。\n</pre>\n\n<p><strong>示例 3:</strong></p>\n\n<pre>\n<strong>输入:</strong> deadends = [\"8887\",\"8889\",\"8878\",\"8898\",\"8788\",\"8988\",\"7888\",\"9888\"], target = \"8888\"\n<strong>输出：</strong>-1\n<strong>解释：</strong>无法旋转到目标数字且不被锁定。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;=&nbsp;deadends.length &lt;= 500</code></li>\n\t<li><code><font face=\"monospace\">deadends[i].length == 4</font></code></li>\n\t<li><code><font face=\"monospace\">target.length == 4</font></code></li>\n\t<li><code>target</code> <strong>不在</strong> <code>deadends</code> 之中</li>\n\t<li><code>target</code> 和 <code>deadends[i]</code> 仅由若干位数字组成</li>\n</ul>\n",
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                "We can think of this problem as a shortest path problem on a graph: there are `10000` nodes (strings `'0000'` to `'9999'`), and there is an edge between two nodes if they differ in one digit, that digit differs by 1 (wrapping around, so `'0'` and `'9'` differ by 1), and if *both* nodes are not in `deadends`."
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