
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
In a country, there are 4 southern cities and 5 northern cities. Transportation links each southern city to each northern city in both directions; there are no transport connections between other pairs of cities. A one-way ticket from any city \( A \) to any city \( B \) costs \( N \) rubles. A round-trip ticket for the route \( A \rightarrow B \rightarrow A \) costs \( 1.6N \) rubles. A traveler starts from a southern city and plans to visit all southern cities before returning to the starting point. Determine the minimum possible amount the traveler will need to spend on tickets.

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