
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
Each player has wagered 48 gold coins and the ratio of rounds won by A is 2:1, but the total number of rounds played is unknown. Determine the fair distribution of the 96 gold coins between the two players.

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