
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 graph paper, a right triangle with legs of 7 cells each was drawn. Then, all grid lines inside the triangle were traced over. What is the maximum number of triangles that can be found in this drawing?

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