leetcode-problemset/leetcode-cn/originData/cat-and-mouse.json

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            "title": "Cat and Mouse",
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            "content": "<p>A game on an <strong>undirected</strong> graph is played by two players, Mouse and Cat, who alternate turns.</p>\n\n<p>The graph is given as follows: <code>graph[a]</code> is a list of all nodes <code>b</code> such that <code>ab</code> is an edge of the graph.</p>\n\n<p>The mouse starts at node <code>1</code> and goes first, the cat starts at node <code>2</code> and goes second, and there is a hole at node <code>0</code>.</p>\n\n<p>During each player&#39;s turn, they <strong>must</strong> travel along one&nbsp;edge of the graph that meets where they are.&nbsp; For example, if the Mouse is at node 1, it <strong>must</strong> travel to any node in <code>graph[1]</code>.</p>\n\n<p>Additionally, it is not allowed for the Cat to travel to the Hole (node 0.)</p>\n\n<p>Then, the game can end in three&nbsp;ways:</p>\n\n<ul>\n\t<li>If ever the Cat occupies the same node as the Mouse, the Cat wins.</li>\n\t<li>If ever the Mouse reaches the Hole, the Mouse wins.</li>\n\t<li>If ever a position is repeated (i.e., the players are in the same position as a previous turn, and&nbsp;it is the same player&#39;s turn to move), the game is a draw.</li>\n</ul>\n\n<p>Given a <code>graph</code>, and assuming both players play optimally, return</p>\n\n<ul>\n\t<li><code>1</code>&nbsp;if the mouse wins the game,</li>\n\t<li><code>2</code>&nbsp;if the cat wins the game, or</li>\n\t<li><code>0</code>&nbsp;if the game is a draw.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/17/cat1.jpg\" style=\"width: 300px; height: 300px;\" />\n<pre>\n<strong>Input:</strong> graph = [[2,5],[3],[0,4,5],[1,4,5],[2,3],[0,2,3]]\n<strong>Output:</strong> 0\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/17/cat2.jpg\" style=\"width: 200px; height: 200px;\" />\n<pre>\n<strong>Input:</strong> graph = [[1,3],[0],[3],[0,2]]\n<strong>Output:</strong> 1\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= graph.length &lt;= 50</code></li>\n\t<li><code>1&nbsp;&lt;= graph[i].length &lt; graph.length</code></li>\n\t<li><code>0 &lt;= graph[i][j] &lt; graph.length</code></li>\n\t<li><code>graph[i][j] != i</code></li>\n\t<li><code>graph[i]</code> is unique.</li>\n\t<li>The mouse and the cat can always move.&nbsp;</li>\n</ul>\n",
            "translatedTitle": "猫和老鼠",
            "translatedContent": "<p>两位玩家分别扮演猫和老鼠，在一张 <strong>无向</strong> 图上进行游戏，两人轮流行动。</p>\n\n<p>图的形式是：<code>graph[a]</code> 是一个列表，由满足&nbsp;<code>ab</code> 是图中的一条边的所有节点 <code>b</code> 组成。</p>\n\n<p>老鼠从节点 <code>1</code> 开始，第一个出发；猫从节点 <code>2</code> 开始，第二个出发。在节点 <code>0</code> 处有一个洞。</p>\n\n<p>在每个玩家的行动中，他们 <strong>必须</strong> 沿着图中与所在当前位置连通的一条边移动。例如，如果老鼠在节点 <code>1</code> ，那么它必须移动到 <code>graph[1]</code> 中的任一节点。</p>\n\n<p>此外，猫无法移动到洞中（节点 <code>0</code>）。</p>\n\n<p>然后，游戏在出现以下三种情形之一时结束：</p>\n\n<ul>\n\t<li>如果猫和老鼠出现在同一个节点，猫获胜。</li>\n\t<li>如果老鼠到达洞中，老鼠获胜。</li>\n\t<li>如果某一位置重复出现（即，玩家的位置和移动顺序都与上一次行动相同），游戏平局。</li>\n</ul>\n\n<p>给你一张图 <code>graph</code> ，并假设两位玩家都都以最佳状态参与游戏：</p>\n\n<ul>\n\t<li>如果老鼠获胜，则返回&nbsp;<code>1</code>；</li>\n\t<li>如果猫获胜，则返回 <code>2</code>；</li>\n\t<li>如果平局，则返回 <code>0</code> 。</li>\n</ul>\n&nbsp;\n\n<p><strong>示例 1：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/17/cat1.jpg\" style=\"width: 300px; height: 300px;\" />\n<pre>\n<strong>输入：</strong>graph = [[2,5],[3],[0,4,5],[1,4,5],[2,3],[0,2,3]]\n<strong>输出：</strong>0\n</pre>\n\n<p><strong>示例 2：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/17/cat2.jpg\" style=\"width: 200px; height: 200px;\" />\n<pre>\n<strong>输入：</strong>graph = [[1,3],[0],[3],[0,2]]\n<strong>输出：</strong>1\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= graph.length &lt;= 50</code></li>\n\t<li><code>1&nbsp;&lt;= graph[i].length &lt; graph.length</code></li>\n\t<li><code>0 &lt;= graph[i][j] &lt; graph.length</code></li>\n\t<li><code>graph[i][j] != i</code></li>\n\t<li><code>graph[i]</code> 互不相同</li>\n\t<li>猫和老鼠在游戏中总是移动</li>\n</ul>\n",
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