
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
In a $6 \times 6$ grid, place as many "L" shapes composed of 4 small squares as possible. The "L" shapes can be rotated and flipped, and no two "L" shapes can overlap. What is the maximum number of "L" shapes that can be placed on the grid?

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