
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
The trains. At Würzltown station, an old lady looked out of the window and shouted:
- Conductor! How long is the trip from here to Madville?
- All trains take 5 hours in either direction, ma'am, he replied.
- And how many trains will I encounter on my way?

This seemingly odd question puzzled the conductor, but he readily answered:
- Trains from Würzltown to Madville and from Madville to Würzltown depart at five minutes past the hour, every hour, with an exact interval of one hour.

The old lady prompted one of her compartment neighbors to find the answer to her question.

How many trains will she encounter on her way?

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