
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
Let  $T$  be a triangle whose vertices have integer coordinates, such that each side of  $T$  contains exactly  $m$  points with integer coordinates. If the area of  $T$  is less than  $2020$ , determine the largest possible value of  $m$ .



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