
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 square is split into nine identical squares, each with sides of length one unit. Circles are inscribed in two of these squares. What is the shortest distance between the two circles?
A $2 \sqrt{2}-1$
B $\sqrt{2}+1$
C $2 \sqrt{2}$
D 2
E 3

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