
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
To determine the minimum time required for the concentration of the drug in the air to drop below 0.25 milligrams per cubic meter, solve the equation y = 0.25 for t using the function y=\begin{cases} 10t & (0 \leqslant t \leqslant 0.1), \\ {\left( \frac{1}{16} \right)}^{t- \frac{1}{10}} & (t > 0.1) \end{cases}.

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