
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 1000 coins in a piggy bank with denominations of 1 ruble, 2 rubles, and 5 rubles, totaling 2000 rubles. How many coins of each denomination are in the piggy bank, given that the number of 1-ruble coins is a prime number?

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