
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
Three farms are not located on a straight line. The distance from the first to the third through the second is four times longer than the direct path between them; the distance from the first to the second through the third is $a$ km longer than the direct path; the distance from the second to the third through the first is 85 km. What is the interval for the values of $a$ such that the described arrangement of the farms is possible? Calculate the distances between the farms.

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