
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
Lele places some small squares and isosceles right triangles non-overlappingly on the bottom layer of a large square box with a side length of 7 centimeters. If the small squares have side lengths of 2 centimeters, and the isosceles right triangles have hypotenuse lengths of 3 centimeters, what is the maximum number of each shape that he can place in the box?

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