
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
Tourists planned a long hike for three days, aiming to walk one-third of the total distance each day. They adhered to this plan only on the first day. On the second day, they walked only one-third of the remaining distance, and on the third day, exhausted, just one-quarter of the remaining distance. The last $24 \text{ km}$ to the destination was covered by an off-road vehicle.

How long was the entire hike and how many kilometers did the tourists walk on the first, second, and third days?

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