
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
From a checkered square $6 \times 6$, gray triangles were cut out. What is the area of the remaining shape? The side length of each cell is 1 cm. Provide the answer in square centimeters.

![](https://cdn.mathpix.com/cropped/2024_05_06_d4986512fdb0330805a0g-11.jpg?height=309&width=313&top_left_y=92&top_left_x=566)

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