
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
Tourist \( A \) departed from city \( M \) to city \( N \) at a constant speed of 12 km/h. Tourist \( B \), who was in city \( N \), upon receiving a signal that \( A \) had already traveled 7 km, immediately set out to meet \( A \) and traveled each hour 0.05 of the total distance between \( M \) and \( N \). From the moment \( B \) left until his meeting with \( A \), the number of hours that passed is equal to the number of kilometers per hour \( B \) traveled. Find the distance between cities \( M \) and \( N \), if it is no less than 100 km.

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