
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
Tolya placed 101 coins in a row with denominations of 1, 2, and 3 kopecks. It turned out that there is at least one coin between any two one-kopeck coins, at least two coins between any two two-kopeck coins, and at least three coins between any two three-kopeck coins. How many three-kopeck coins could Tolya possibly have?

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