
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 unique strictly increasing sequence of nonnegative integers $a_1 < a_2 < \ldots < a_k$ such that
\[\frac{2^{325}+1}{2^{25}+1} = 2^{a_1} + 2^{a_2} + \ldots + 2^{a_k}.\]
Determine the value of $k$.
A) 150
B) 151
C) 152
D) 153
E) 154

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