
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
If in a random experiment, the probability $p = P(A) = \varepsilon > 0$ of event $A$ occurring is very small, no matter how small it is, as long as the experiment is repeated continuously, eventually $P(A) = 1$ (certainty) will occur.

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