
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 an exhibition, adults pay 4 Ft, and children and soldiers pay 1 Ft for admission. How many different compositions of visitors are possible if a total of \( n \) Ft was collected, considering two compositions different if the combined number of children and soldiers is the same but the number of child visitors is different in the two cases?

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