
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
Eve and Martti have a whole number of euros. 
Martti said to Eve: ''If you give give me three euros, so I have  $n$  times the money compared to you. '' Eve in turn said to Martti: ''If you give me  $n$  euros then I have triple the amount of money compared to you'' . Suppose, that both claims are valid. 
What values can a positive integer  $n$  get?

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