
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
On the plane $Oxy$, construct a triangle $\triangle ABC$ such that the coordinates of the vertices $A, B, C$ are integer numbers and the following two conditions are met:
a) $S(\triangle ABC) < 1$;
b) $AB > 2$, $BC > 2$, and $AC > 2$.

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