
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
Jiawei is drawing triangles using three of the points in the given grid as vertices. If the first two examples provided are considered to be different, how many triangles of positive area can Jiawei draw in this way?

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