
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
According to relevant regulations, the behavior of a motor vehicle driver with a blood alcohol content of 20 mg/100 ml or more is considered drunk driving. Suppose that after drinking, the blood alcohol content is $p_0$ mg/100 ml, and after $x$ hours, the alcohol content drops to $p$ mg/100 ml, satisfying the relationship $$p=p_{0}\cdot e^{rx}$$ (where $r$ is a constant). If a person's blood alcohol content is 89 mg/100 ml after drinking, and 61 mg/100 ml 2 hours later, then this person can drive after \_\_\_\_\_\_ hours. (Round up to the nearest hour)

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