
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
On a long straight stretch of one-way single-lane highway, cars all travel at the same speed and obey a safety rule that maintains a distance from the back of the car ahead to the front of the car behind at exactly one car length for each 10 kilometers per hour of the car's speed or the nearest integer fraction thereof. A photoelectric eye beside the road counts the number of cars that pass in 30 minutes. Each car is now assumed to be 5 meters in length. Calculate $M$, the maximum whole number of cars that can pass the photoelectric eye in 30 minutes, and find $\frac{M}{10}$.

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