
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
Find the side length of the smallest square that contains exactly three lattice points on its boundary. Each side of the square is aligned parallel to the coordinate axes.
A) 0.5
B) 1.0
C) 1.5
D) 2.0

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