
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 3 piles of coins, each coin having the same denomination. Xiao Li took the same number of coins from the first pile as there were in the second pile and put them into the second pile; then, he took the same number of coins from the second pile as there were in the third pile and put them into the third pile; finally, he took the same number of coins from the third pile as there were in the existing first pile and put them into the first pile. In the end, each pile had 16 coins. How many coins were there originally in the first, second, and third piles respectively?

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