
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 bee freely flies inside a cubic box. If the bee always stays within the inscribed sphere of the cube during its flight, this is referred to as "safe flight." The probability of the bee's "safe flight" is ______.

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