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标题: 难解的牌局 [打印本页]

作者: redface    时间: 2004-12-12 17:35
标题: 难解的牌局

  今日在街上看到一摆摊老头,身边放了一象棋残局和一扑克残局,留心了一下扑克残局,如下
  共两方牌,
  一方为“梅花3,红桃4,方片4,红桃5,方片5,红桃6,黑桃6,方片7,梅花7,黑桃9,梅花9,黑桃Q,红桃Q,方片Q,黑桃K,红桃K,梅花K,黑桃2”
  另一方为“黑桃10,红桃10,黑桃A,红桃A”
  规则如下:两方牌你任意选择一方,牌多的一方先出,可出单张,可出一对,可出5张同一花色(如,红桃,4,5,6,Q,K或黑桃2,6,9,Q,K),可出顺子(如3,4,5,6,7或2,3,4,5,6),不能出连对(如33,44,55)三条只能带对,不能带单张,出的牌对方可要可不要,先出完的为胜。
  
  
  我研究了好久,既然两方牌任意选择一方,对摆摊老头来说没优势可言,但是我在他边上看了好久,没有人能赢他。贴出来大家一起分析下。
www.ddhw.com

 

作者: sean9991    时间: 2004-12-13 19:57
标题: 回复:难解的牌局

Let A be the player with 18 cards, B with 4 cards.
A can group his cards in the following way:
club 3-diamond 4-diamond 5-spade 6-diamond 7,
heart 4, 5, 6, Q, K
club 7, spade 2
double 9s, double Qs, double Ks.
If A goes first, A wins in the following way:
A starts with club 7, there are three cases:www.ddhw.com
1) B passes.  A then any single 9, single 9, ...
2) B responds with 10.  A responds with Q.  Two sub cases:
2-a) B passes.  Then A goes another Q,  B has to pass.  Now A goes single K, single K,... 
2-b) B responds with Ace.  Then A goes with 2,  Easily wins.
3) B responds with Ace.  A responds with 2. then doubles 9s (no matter if B responds), double Qs, double Ks, and all five suits.
 
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作者: redface    时间: 2004-12-14 06:17
标题: 厉害厉害,pfpf

  厉害厉害,pfpf









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