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1275. 找出井字棋的获胜者

A 和 B 在一个 3 x 3 的网格上玩井字棋。

井字棋游戏的规则如下:

给你一个数组 moves,其中每个元素是大小为 2 的另一个数组(元素分别对应网格的行和列),它按照 AB 的行动顺序(先 AB)记录了两人各自的棋子位置。

如果游戏存在获胜者(AB),就返回该游戏的获胜者;如果游戏以平局结束,则返回 "Draw";如果仍会有行动(游戏未结束),则返回 "Pending"。

你可以假设 moves 都 有效(遵循井字棋规则),网格最初是空的,A 将先行动。

 

示例 1:

输入:moves = [[0,0],[2,0],[1,1],[2,1],[2,2]]
输出:"A"
解释:"A" 获胜,他总是先走。
"X  "    "X  "    "X  "    "X  "    "X  "
"   " -> "   " -> " X " -> " X " -> " X "
"   "    "O  "    "O  "    "OO "    "OOX"

示例 2:

输入:moves = [[0,0],[1,1],[0,1],[0,2],[1,0],[2,0]]
输出:"B"
解释:"B" 获胜。
"X  "    "X  "    "XX "    "XXO"    "XXO"    "XXO"
"   " -> " O " -> " O " -> " O " -> "XO " -> "XO " 
"   "    "   "    "   "    "   "    "   "    "O  "

示例 3:

输入:moves = [[0,0],[1,1],[2,0],[1,0],[1,2],[2,1],[0,1],[0,2],[2,2]]
输出:"Draw"
输出:由于没有办法再行动,游戏以平局结束。
"XXO"
"OOX"
"XOX"

示例 4:

输入:moves = [[0,0],[1,1]]
输出:"Pending"
解释:游戏还没有结束。
"X  "
" O "
"   "

 

提示:

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class Solution { public: string tictactoe(vector<vector<int>>& moves) { } };

python3 解法, 执行用时: 28 ms, 内存消耗: 15 MB, 提交时间: 2022-06-15 11:00:42

class Solution:
    def tictactoe(self, moves: List[List[int]]) -> str:
        wins = [
            [(0, 0), (0, 1), (0, 2)],
            [(1, 0), (1, 1), (1, 2)],
            [(2, 0), (2, 1), (2, 2)],
            [(0, 0), (1, 0), (2, 0)],
            [(0, 1), (1, 1), (2, 1)],
            [(0, 2), (1, 2), (2, 2)],
            [(0, 0), (1, 1), (2, 2)],
            [(0, 2), (1, 1), (2, 0)],
        ]

        def checkwin(S):
            for win in wins:
                flag = True
                for pos in win:
                    if pos not in S:
                        flag = False
                        break
                if flag:
                    return True
            return False

        A, B = set(), set()
        for i, (x, y) in enumerate(moves):
            if i % 2 == 0:
                A.add((x, y))
                if checkwin(A):
                    return "A"
            else:
                B.add((x, y))
                if checkwin(B):
                    return "B"
        
        return "Draw" if len(moves) == 9 else "Pending"

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