
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
Three people want to buy a horse for 12 florins, but none of them has enough money individually. The first says to the other two: "Give me each half of your money, and I'll buy the horse." The second says to the first and the third: "Give me each a third of your money, and I'll purchase the horse." Finally, the third says to the first and the second: "Give me just a quarter of your money, and the horse will be mine." How much money did each person have?

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