
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 segment \(P Q\) is divided into several smaller segments. A square is constructed on each of these segments (see image).

What is the length of the path along the arrows if the length of the segment \(P Q\) is 73? If necessary, round the answer to 0.01 or write the answer as a common fraction.

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