import itertools
import random

# 创建牌组
suits = ['黑桃', '红桃', '梅花', '方块']
ranks = ['2', '3', '4', '5', '6', '7', '8', '9', '10', 'J', 'Q', 'K', 'A']
deck = list(itertools.product(suits, ranks))

# 定义检测牌型的函数
def check(hand):
    # 检测豹子
    if hand[0][1] == hand[1][1] == hand[2][1]:
        return '豹子'
    # 检测顺金
    sorted_hand = sorted(hand, key=lambda x: ranks.index(x[1]))
    if all(sorted_hand[i][0] == sorted_hand[0][0] for i in range(3)):
        if ranks.index(sorted_hand[2][1]) - ranks.index(sorted_hand[0][1]) == 2:
            return '顺金'
    # 检测金花
    if all(hand[i][0] == hand[0][0] for i in range(3)):
        return '金花'
    # 检测顺子
    if ranks.index(sorted_hand[2][1]) - ranks.index(sorted_hand[0][1]) == 2:
        return '顺子'
    # 检测对子
    if hand[0][1] == hand[1][1] or hand[1][1] == hand[2][1] or hand[0][1] == hand[2][1]:
        return '对子'
    # 检测特殊牌型235
    if sorted([card[1] for card in hand]) == ['2', '3', '5']:
        return '特殊'
    # 如果以上都不是，则为单张
    return '单张'

# 模拟游戏
def game(deck):
    random.shuffle(deck)
    player_hand = random.sample(deck, 3)
    return check(player_hand)

# 主函数
def main():
    # 初始化牌型计数器
    types = {'豹子': 0, '顺金': 0, '金花': 0, '顺子': 0, '对子': 0, '单张': 0, '特殊': 0}
    # 模拟10000次游戏
    for _ in range(10000):
        type = game(deck)
        types[type] += 1
    # 计算并打印概率
    for type, count in types.items():
        print(f"{type}: {count / 10000:.4f}")

if __name__ == "__main__":
    main()