Class Solution

java.lang.Object
g0901_1000.s0913_cat_and_mouse.Solution

public class Solution extends Object
913 - Cat and Mouse\. Hard A game on an **undirected** graph is played by two players, Mouse and Cat, who alternate turns. The 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.) Then, the game can end in three ways: * If ever the Cat occupies the same node as the Mouse, the Cat wins. * If ever the Mouse reaches the Hole, the Mouse wins. * If ever a position is repeated (i.e., the players are in the same position as a previous turn, and it is the same player's turn to move), the game is a draw. Given a `graph`, and assuming both players play optimally, return * `1` if the mouse wins the game, * `2` if the cat wins the game, or * `0` if the game is a draw. **Example 1:** ![](https://assets.leetcode.com/uploads/2020/11/17/cat1.jpg) **Input:** graph = \[\[2,5],[3],[0,4,5],[1,4,5],[2,3],[0,2,3]] **Output:** 0 **Example 2:** ![](https://assets.leetcode.com/uploads/2020/11/17/cat2.jpg) **Input:** graph = \[\[1,3],[0],[3],[0,2]] **Output:** 1 **Constraints:** * `3 <= graph.length <= 50` * `1 <= graph[i].length < graph.length` * `0 <= graph[i][j] < graph.length` * `graph[i][j] != i` * `graph[i]` is unique. * The mouse and the cat can always move.
  • Constructor Details

    • Solution

      public Solution()
  • Method Details

    • catMouseGame

      public int catMouseGame(int[][] graph)