
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 hotel has one triple room, one double room, and one single room available. Three adults and two children come to stay, and the children cannot stay in a room by themselves (they must be accompanied by an adult). If all three rooms are occupied, there are \_\_\_\_\_\_\_\_\_ different arrangements for their accommodation.

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