
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
There are 48 matches. They are divided into three unequal piles. Then three transfers of matches between the piles are performed. First, from the first pile to the second pile, transfers as many matches as there are in the second pile. Then from the second pile to the third pile, transfers as many matches as there are in the third pile. Finally, from the third pile to the first pile, transfers as many matches as there are in the first pile. As a result of these three transfers, the number of matches in all piles becomes equal. How many matches were originally in each pile? (10 points)

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