
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 settlement is built in the shape of a square consisting of 3 blocks by 3 blocks (each block is a square with a side length $b$, for a total of 9 blocks). What is the shortest path that a paver must take to pave all the streets if they start and end their path at a corner point $A$? (The sides of the square are also streets).

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