
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 each measuring 7 units has been drawn. Then all the grid lines within the triangle are traced. What is the maximum number of triangles that can be found within this drawing?

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