
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 sequence $\{a_n\}$ satisfying $\log_{2}a_{n+1}=1+\log_{2}a_{n}$ $(n\in\mathbb{N}^*)$, and $a_{1}+a_{2}+a_{3}+\ldots+a_{10}=1$, then $\log_{2}(a_{101}+a_{102}+\ldots+a_{110})=$ ______.

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