How to Solve Cat and Mouse Leetcode Problem - Interview Coder Guide
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How to Solve Cat and Mouse Problem

Master the Cat and Mouse LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.

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Hard#949
LeetCode Problem

Cat and Mouse

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 m...

MathDynamic ProgrammingGraph+3 more

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Problem Breakdown

Understanding the Cat and Mouse Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

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.

HardProblem #949
LeetCode

Cat and Mouse

Related Topics
MathDynamic ProgrammingGraphTopological SortMemoizationGame Theory
How Interview Coder Helps

Get real-time assistance for Cat and Mouse problems during coding interviews. Interview Coder provides instant solutions and explanations.

Examples

Example 1
INPUT
graph = [[2,5],[3],[0,4,5],[1,4,5],[2,3],[0,2,3]]
OUTPUT
0
Example 2
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.

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Zoom
Supported
Google Meet
Supported
HackerRank
Supported
CodeSignal
Supported
CoderPad
Supported
Teams
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Frequently Asked Questions

Common questions about solving Cat and Mouse and using Interview Coder during coding interviews.

Interview Coder generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.

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