
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 vectors \(\overrightarrow{a}=(m,1)\) and \(\overrightarrow{b}=(1,n-1)\) with \(m > 0\) and \(n > 0\), and \(\overrightarrow{a} \perp \overrightarrow{b}\), calculate the minimum value of \(\dfrac {1}{m}+ \dfrac {2}{n}\).

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