
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
There are three hotels (a, b, and c) and five countries, and each country must choose one hotel. Additionally, at least one country must stay in each of the three hotels. Determine the total number of possible arrangements for this scenario.

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