
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 construction used a homogeneous wire of constant cross-section. It is known that the points $B$, $D$, $F$, and $H$ are located exactly in the middle of the corresponding sides of the square $A C E G$. The resistance of the segment $A B$ is $R_{0} = 1 \Omega$. Determine the resistance of the entire construction if it is connected to the electrical circuit at points $A$ and $E$.

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