
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 $$\overrightarrow {a}=(m,1), \overrightarrow {b}=(1,n-1)$$ (where $m,n$ are positive numbers), and $$\overrightarrow {a}\cdot \overrightarrow {b}=0$$, find the minimum value of $$\frac {1}{m}+ \frac {1}{n}$$.

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