
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 a plot of area 64 square units $(8 \cdot 8)$, there are 13 beds (shaded in the diagram): three beds in each outer row, and the 13th in the form of a square obtained by connecting the midpoints of the sides of the square $a b c d$. Determine what portion of the plot is occupied by the beds.

![](https://cdn.mathpix.com/cropped/2024_05_21_926f0bb262c8f9569516g-030.jpg?height=374&width=368&top_left_y=1772&top_left_x=1324)

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