
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
1. Calculate: $$0.064^{- \frac {1}{3}}-(- \frac {7}{8})^{0}+[(2-π)^{2}]^{ \frac {1}{2}}+16^{-0.75}$$
2. Find the maximum value of the quadratic function $f(x)=-x^2+4ax+1$ (where $a>0$) in the interval $[0,2]$.

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