
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 that $S_n$ is the sum of the first $n$ terms of the sequence $\{a_n\}$, and for $n\in\mathbb{N}^*$, we have $S_n=1-a_n$. If $b_n=\log_2a_n$, then $\dfrac{1}{b_1b_2}+ \dfrac{1}{b_2b_3}+\ldots+ \dfrac{1}{b_nb_{n+1}}=$\_\_\_\_\_\_.

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