A game on an undirected graph is played by two players, Mouse and Cat, who alternate turns.
\n\nThe graph is given as follows: graph[a] is a list of all nodes b such that ab is an edge of the graph.
The mouse starts at node 1 and goes first, the cat starts at node 2 and goes second, and there is a hole at node 0.
During each player's turn, they must travel along one edge of the graph that meets where they are. For example, if the Mouse is at node 1, it must travel to any node in graph[1].
Additionally, it is not allowed for the Cat to travel to the Hole (node 0.)
\n\nThen, the game can end in three ways:
\n\nGiven a graph, and assuming both players play optimally, return
1 if the mouse wins the game,2 if the cat wins the game, or0 if the game is a draw.\n
Example 1:
\n![\"\"](\"https://assets.leetcode.com/uploads/2020/11/17/cat1.jpg\")
\n\nInput: graph = [[2,5],[3],[0,4,5],[1,4,5],[2,3],[0,2,3]]\nOutput: 0\n\n\n
Example 2:
\n![\"\"](\"https://assets.leetcode.com/uploads/2020/11/17/cat2.jpg\")
\n\nInput: graph = [[1,3],[0],[3],[0,2]]\nOutput: 1\n\n\n
\n
Constraints:
\n\n3 <= graph.length <= 501 <= graph[i].length < graph.length0 <= graph[i][j] < graph.lengthgraph[i][j] != igraph[i] is unique.两位玩家分别扮演猫和老鼠，在一张 无向 图上进行游戏，两人轮流行动。
\n\n图的形式是：graph[a] 是一个列表，由满足 ab 是图中的一条边的所有节点 b 组成。
老鼠从节点 1 开始，第一个出发；猫从节点 2 开始，第二个出发。在节点 0 处有一个洞。
在每个玩家的行动中，他们 必须 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 1 ，那么它必须移动到 graph[1] 中的任一节点。
此外，猫无法移动到洞中（节点 0）。
然后，游戏在出现以下三种情形之一时结束：
\n\n给你一张图 graph ，并假设两位玩家都都以最佳状态参与游戏：
1；2；0 。示例 1：
\n\n\n输入：graph = [[2,5],[3],[0,4,5],[1,4,5],[2,3],[0,2,3]]\n输出：0\n\n\n
示例 2：
\n\n\n输入：graph = [[1,3],[0],[3],[0,2]]\n输出：1\n\n\n
\n\n
提示：
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