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Three people are playing the following betting game.
Every five minutes, a turn takes place in which a random player rests and the other two bet
against one another with all of their money.
The player with the smaller amount of money always wins,
doubling his money by taking it from the loser.
For example, if the initial amounts of money are 1, 4, and 6,
then the result of the first turn can be either
2,3,6 (1 wins against 4);
1,8,2 (4 wins against 6); or