
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 travel at the same speed and maintain a safety distance such that the distance from the back of one car to the front of the next car equals one car length for each 10 kilometers per hour of speed. A photoelectric eye by the side of the road counts the number of cars that pass in one hour. Assuming that each car is 5 meters long and that the cars can travel at any speed, calculate $M$, the maximum whole number of cars that can pass the photoelectric eye in one hour, and find the quotient when $M$ is divided by $10$.

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