
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 step-wise right triangle with legs each equal to 6 cells is drawn. Then, all the grid lines inside the triangle are traced. What is the maximum number of rectangles that can be found in this drawing?

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