
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
A team of workers must carve $n$ ice sculptures for an ice town in two days. On the first day, they carved 11 sculptures, with each worker completing an equal portion of the work. On the second day, only 7 workers came to work because some were reassigned to another project. Each worker did three times the amount of work on the second day compared to the first day, allowing the ice town to be completed on time. How many ice sculptures could the town have? Specify all possible options and explain why there are no other options.

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