
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
We cover a closed disk with a unit radius using smaller congruent closed disks.

a) What is the minimum number of covering disks required for this?

b) What is the minimum radius of the covering disks when using the minimum number of disks?

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