------
## 最终结论
```python
def catMouseGame(graph):
    MOUSE, CAT, DRAW = 1, 2, 0
    n = len(graph)
    
    # Initialize the dp table
    dp = [[[-1] * n for _ in range(n)] for _ in range(2)]

    def dfs(mouse, cat, turn):
        if mouse == 0:
            return MOUSE
        if cat == mouse:
            return CAT
        if dp[turn][mouse][cat] != -1:
            return dp[turn][mouse][cat]
        
        if turn == 0:  # Mouse's turn
            result = CAT
            for next_mouse in graph[mouse]:
                outcome = dfs(next_mouse, cat, 1)
                if outcome == MOUSE:
                    result = MOUSE
                    break
                elif outcome == DRAW:
                    result = DRAW
        
        else:  # Cat's turn
            result = MOUSE
            for next_cat in graph[cat]:
                if next_cat == 0:
                    continue
                outcome = dfs(mouse, next_cat, 0)
                if outcome == CAT:
                    result = CAT
                    break
                elif outcome == DRAW:
                    result = DRAW

        dp[turn][mouse][cat] = result
        return result

    return dfs(1, 2, 0)

# Example usage:
graph = [[2,5],[3],[0,4,5],[1,4,5],[2,3],[0,2,3]]
print(catMouseGame(graph))  # Output: 0
```