
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
Consider a sequence of nonnegative integers $b_1 < b_2 < … < b_m$ where each $b_i = 2^n$ for some $n$. There exists a unique strictly increasing sequence such that \[\frac{2^{225} - 1}{2^{15} - 1} = 2^{b_1} + 2^{b_2} + … + 2^{b_m}.\] Determine the value of $m$.

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