import random
from collections import Counter

# 初始化扑克牌，生成52张牌，不包括大小王
suits = ['H', 'D', 'S', 'C']  # Hearts, Diamonds, Spades, Clubs
values = ['2', '3', '4', '5', '6', '7', '8', '9', '10', 'J', 'Q', 'K', 'A']
deck = [v + s for s in suits for v in values]


# 牌型判断函数
def is_bomb(cards):
    # 判断是否为豹子（炸弹），三张点相同的牌
    return cards[0][:-1] == cards[1][:-1] == cards[2][:-1]


def is_straight_flush(cards):
    # 判断是否为顺金（同花顺），花色相同的顺子
    return is_flush(cards) and is_straight(cards)


def is_flush(cards):
    # 判断是否为金花（色皮），花色相同，非顺子
    return cards[0][-1] == cards[1][-1] == cards[2][-1]


def is_straight(cards):
    # 判断是否为顺子（拖拉机），花色不同的顺子
    values = sorted(['23456789TJQKA'.index(c[:-1]) if c[:-1] != '10' else 8 for c in cards])
    return values == list(range(values[0], values[0] + 3))


def is_pair(cards):
    # 判断是否为对子，两张点数相同的牌
    values = [c[:-1] for c in cards]
    return len(set(values)) == 2


def is_special(cards):
    # 判断是否为特殊牌型，花色不同的235
    values = sorted(['23456789TJQKA'.index(c[:-1]) if c[:-1] != '10' else 8 for c in cards])
    suits = set(c[-1] for c in cards)
    return values == [0, 1, 2] and len(suits) == 3


def get_hand_type(cards):
    # 获取牌型的类型
    if is_special(cards):
        return '特殊'
    if is_bomb(cards):
        return '豹子'
    if is_straight_flush(cards):
        return '顺金'
    if is_flush(cards):
        return '金花'
    if is_straight(cards):
        return '顺子'
    if is_pair(cards):
        return '对子'
    return '单张'  # 三张牌不组成任何类型的牌，单张


# 模拟游戏并统计结果
results = Counter()

# 模拟10000次游戏
for _ in range(10000):
    # 洗牌
    random.shuffle(deck)
    # 发牌，每位玩家3张牌
    player1 = deck[:3]
    player2 = deck[3:6]

    # 统计每位玩家的牌型
    results[get_hand_type(player1)] += 1
    results[get_hand_type(player2)] += 1

# 计算概率
total_hands = 20000  # 两个玩家，每人10000次
probabilities = {hand: count / total_hands for hand, count in results.items()}

# 输出结果
for hand, prob in probabilities.items():
    print(f"{hand}: {prob:.4f}")