
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 square $N$ with side length of $6 \mathrm{~cm}$, 4 squares with side length of $1 \mathrm{~cm}$ and 3 circles with diameter of $1 \mathrm{~cm}$ are placed. Can another circle with a diameter of $1 \mathrm{~cm}$ be placed in $N$ so that it does not intersect with any of the previously placed 7 shapes?

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