
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
Between Moscow and Saint Petersburg there are seven populated areas: Yaroslavl, Tver, Klin, Vyshny Volochek, Shestikhino, Zavidovo, and Bologoye. Moscow has direct railway communication with seven points, Saint Petersburg with five, Tver with four, Yaroslavl with two, Bologoye with two, Shestikhino with two, and Zavidovo with one. How many populated areas have a direct connection with Vyshny Volochek? How many ways can one travel from Moscow to Saint Petersburg?

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