
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
Define a fraction $\frac{a}{b}$, not necessarily in simplest form, as special if $a$ and $b$ are positive integers whose sum is $16$. How many distinct integers can be written as the sum of two, not necessarily different, special fractions?
A) 9
B) 10
C) 11
D) 12
E) 13

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