
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 student's written work has a two-grade evaluation system; i.e., the work will either pass if it is done well, or fail if it is done poorly. The works are first checked by a neural network that gives incorrect answers in 10% of cases, and then all works deemed failed are rechecked manually by experts who do not make mistakes. The neural network can both classify good work as failed and vice versa – classify bad work as passed. It is known that among all the submitted works, 20% are actually bad. What is the minimum percentage of bad work that can be among those rechecked by experts after the selection by the neural network? In your answer, indicate the whole number part.

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