
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
In a wallet, there are a total of 71 kopecks consisting of coins in denominations of 5, 2, and 1 kopeck. The number of 1-kopeck and 2-kopeck coins is the same. How many coins of each denomination are there in the wallet if the total number of coins is 31?

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