[LeetCode] 913. Cat and Mouse 猫和老鼠-优快云博客

本文介绍了一种在无向图上进行的猫鼠游戏。游戏中，鼠从节点1开始行动，猫从节点2开始，洞位于节点0。游戏的目标是鼠到达洞或猫抓住鼠，或者出现平局。文章提供了游戏的玩法细节，并给出一个示例。

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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.

Mouse starts at node 1 and goes first, 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 3 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 (ie. 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 game is won by Mouse, 2 if the game is won by Cat, and 0 if the game is a draw.

Example 1:

Input: [[2,5],[3],[0,4,5],[1,4,5],[2,3],[0,2,3]]
Output: 0
Explanation: 4---3---1
|   |
2---5
 \ /
  0

Note:

3 <= graph.length <= 50
It is guaranteed that graph[1] is non-empty.
It is guaranteed that graph[2] contains a non-zero element.

Github 同步地址:

https://github.com/grandyang/leetcode/issues/913

参考资料：

https://leetcode.com/problems/cat-and-mouse/

LeetCode All in One 题目讲解汇总(持续更新中...)

转载于:https://www.cnblogs.com/grandyang/p/11515655.html