
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 two-lane highway where each lane is one-way, cars travel in both lanes at the same constant speed but observe different safety rules for maintaining distance: in lane 1, the distance from the back of one car to the front of the next is exactly one car length for each 15 kilometers per hour of speed. In lane 2, the distance is one car length for each 10 kilometers per hour of speed. Assume each car is 5 meters long, and a camera by the side of the road counts the number of cars that pass in one hour. Let $N$ be the maximum whole number of cars that can pass in lane 1, and $M$ in lane 2 in one hour. Find the sum of the quotients when $N$ and $M$ are each divided by 10.

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