
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
At the central telegraph office, there are exchange machines that change 20 kopecks to coins of 15, 2, 2, and 1 kopecks; 15 kopecks to coins of 10, 2, 2, and 1 kopecks; and 10 kopecks to coins of 3, 3, 2, and 2 kopecks. Petya exchanged 1 ruble 25 kopecks in silver for copper. Vasya, looking at the result, said: "I know exactly what coins you had" and named them. Name them too.

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