
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
a) Given a piece of wire 120 cm long. Is it possible to create a frame of a cube with an edge length of 10 cm without breaking the wire?

b) What is the minimum number of times the wire needs to be broken to create the required frame?

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