
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
For all integers $n$ greater than 1, define $f_n = \frac{1}{\log_n 4096}$. Let $x = f_3 + f_4 + f_5 + f_6$ and $y = f_7 + f_8 + f_9 + f_{10}$. Find $x - y.$

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