如何计算一局三国杀所进行的回合数的数学期望？第1页

divinites 网友的相关建议:

这个我很久以前还真写过一个小程序来验证过。结果和

不太一样，结果是30个杀，15个闪，12个回合左右就可以分出胜负。

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更新，我们的结论是相似的，只是计算回合的方法不一样。

代码分为两个文件，libsoldier.py 如下：

       import random   class CardDeck:     def __init__(self):         self.cards = ["D"] * 15 + ['K'] * 30         self.used_cards = []      def shuffle(self):         self.used_cards.extend(self.cards)         random.shuffle(self.used_cards)         self.cards = self.used_cards         self.used_cards = []      def issue_cards(self, number):         if len(self.cards) < number:             self.shuffle()         issued_cards = self.cards[:number]         self.cards = self.cards[number:]         return issued_cards      def to_used(self, card):         self.used_cards.append(card)   class Soldier:     def __init__(self, name, card_deck):          self.hand_cards = []         self.name = name         self.deck = card_deck         self.blood = 5         self.attack_flag = 0         self.defend_flag = 0         self.death_flag = 0      def draw(self, cards):         self.hand_cards.extend(cards)      def attack(self):  # 攻击，有杀出杀！         self.attack_flag = 0         if 'K' in self.hand_cards:             self.play('K')             self.attack_flag = 1             # print(self.name + " kill")         return self.attack_flag      def defend(self):  #防御，有闪出闪！         self.defend_flag = 0         if 'D' in self.hand_cards:             self.play('D')             self.defend_flag = 1             # print(self.name + " dash")         return self.defend_flag      def discard(self):  #弃牌         if len(self.hand_cards) <= self.blood:             pass         else:             while len(self.hand_cards) > self.blood:                 if 'K' in self.hand_cards:     #先丢杀                     self.play('K')                     # print(self.name + " discard K")                     continue                 elif 'D' in self.hand_cards:   #再丢闪                     self.play('D')                     # print(self.name + " discard D")                     continue      def action(self):  # 回合         self.draw(self.deck.issue_cards(2))         # print(self.name + " hand cards are " + str(self.hand_cards))         self.attack()         self.discard()         # print(self.name + "huihe ends")         return self.attack_flag      def take_initial_cards(self):         self.draw(self.deck.issue_cards(4))      def play(self, card):  #出牌         self.hand_cards.remove(card)         self.deck.to_used(card)      def check_health(self):   # 扣血         if self.defend_flag == 0:             self.blood -= 1         else:             pass      def death_check(self):  # 检查是否死亡         self.death_flag = 0         if self.blood == 0:             self.death_flag = 1         return self.death_flag

然后是游戏环节, play.py

       from libsoldier import CardDeck from libsoldier import Soldier   def game():     winner = ''     huihe_number = 0     new_deck = CardDeck()     new_deck.shuffle()     simayi = Soldier("simayi", new_deck)     zhugeliang = Soldier("zhugeliang", new_deck)     simayi.take_initial_cards()     zhugeliang.take_initial_cards()     while True:         if zhugeliang.action():             simayi.defend()             simayi.check_health()             huihe_number += 1             if simayi.death_check():                 winner = "zhugeliang"                 break         if simayi.action():             zhugeliang.defend()             zhugeliang.check_health()             huihe_number += 1             if zhugeliang.death_check():                 winner = "simayi"                 break     return winner, huihe_number / 2   sum = 0 win_rate = 0 for _ in range(1000):     winner, number = game()     sum += number     if winner == "zhugeliang":         win_rate += 1  print(sum/1000.0, win_rate/1000.0)