
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Seven men, named Adams, Baker, Carter, Dobson, Edwards, Francis, and Gudgeon, played a game with special rules: whenever a player won, he had to double the money of each of the other players. They played seven games, and each won once in the given order. At the end of the games, each man had exactly two shillings and eightpence. How much money did each man have before the games started?

Present the answer in LaTex format: \boxed{Your answer}
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