
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 the inequality $$\frac {x+2}{x+1} < 0$$, its solution set is $\{x|a < x < b\}$. Point A $(a, b)$ lies on the line $mx+ny+1=0$, where $mn > 0$. The minimum value of $$\frac {2}{m} + \frac {1}{n}$$ is ______.

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