
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
As shown in the diagram, there is a junction switch at point $A$ on a toy train track that can connect to $B$ or $C$. The circumference of the small loop is 1.5 meters and the circumference of the large loop is 3 meters. Initially, $A$ is connected to $C$, and the train starts from point $A$, moving clockwise on the track. The switch changes the track connection every 1 minute. If the train's speed is 10 meters per minute, determine how many seconds it takes for the train to return to point $A$ for the 10th time.

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