
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

Tourists in one of the groups bought various souvenirs, with each tourist taking a set of souvenirs costing the same amount and costing the same amount in rubles as one souvenir. All tourists paid with ten-ruble bills (one or several), and each received change that was different from the change received by any other tourist. What change could each tourist receive, and what is the maximum number of tourists that could be in the group?

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