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Card Crack (Posted on 2013-11-21) Difficulty: 2 of 5
Al, Ben, and Cal played some card games, each game having exactly one winner.
  1. No player won two games in succession.
  2. When a player was the dealer for a game he did not win that game.
  3. The deal proceeded from Al to Ben to Cal; then this order was repeated until they stopped playing.
  4. The only player to win more than two games did not win the first game.
Who was the only player to win more than two games?

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Code cracked (spoiler) Comment 1 of 1
Using pencil & paper, and stopping when one player had won three games, I came up with 8 possible sequences of winners:

6 of then had the player who won first also being the first to three games, so these do not work:

Dealer:  ABCABCA
Winner:  BABCAB
             BCABAB
             BCABCAB
             BCABCB
             BCBCAB
             CABCABC
         
Two sequences do work:         
         
Dealer:  ABCABCA         
Winner:  BCABCAC
             BCACABC
         
So C won three games on the seventh hand. 

  Posted by Steve Herman on 2013-11-21 10:35:42
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