
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
Determine the area of the smallest square, rotated around a lattice point such that its center coincides with a lattice point, which contains exactly five lattice points on its boundary.
A) 16
B) 18
C) 24
D) 32
E) 36

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