
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
The sequence $b_1, b_2, \ldots$ is a geometric sequence with $b_1 = b$ and common ratio $s$, where $b$ and $s$ are positive integers. Given that $\log_{10} b_1 + \log_{10} b_2 + \cdots + \log_{10} b_{10} = 100$, determine the number of possible ordered pairs $(b, s)$.

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