
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 positive sequence $\{a_n\}$ with the first term being $1$, and the sum of the first $n$ terms is $S_n$. For any positive integers $m$, $n$, with $n > m$, it always holds that $S_n - S_m= 2^m \cdot S_{n-m}$. If two positive integers $p$, $q$ satisfy $p + q = 6$, then the minimum value of $\dfrac {1}{S_p} + \dfrac {1}{S_q}$ is _____.

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