
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
Imagine there are 12 vehicles, each named Vehicle 1 through Vehicle 12, on a long highway. Each Vehicle $k$ has the fuel capacity to travel exactly $k$ hours before needing to refill. Initially, all vehicles start their journey together, and they travel at a constant speed appropriate to their fuel capacity. Let $R$ be the least time, in hours, after which at least 7 of the vehicles are refueling simultaneously. Calculate $R$ and find the sum of its digits.
**A)** 2
**B)** 4
**C)** 5
**D)** 6
**E)** 7

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