
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
Given a function $y=a^{2-x}+1$ (where $a>0$ and $a\neq1$) whose graph always passes through a fixed point A. Point A lies on the line $mx+ny=1$ (where $mn>0$). Find the minimum value of $\frac{1}{m} + \frac{1}{n}$.

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