
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
A tourist group organized a three-day cycling trip. On the first day, they planned to travel $\frac{1}{3}$ of the entire route but unfortunately covered $4 \mathrm{~km}$ less. On the second day, they aimed to travel half of the remaining distance but ended up covering $2 \mathrm{~km}$ less. On the third day, they caught up, traveling $\frac{10}{11}$ of the remaining route plus an additional $4 \mathrm{~km}$. What was the total distance of the route, and how far did they travel on the first, second, and third days?

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