
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
Let $A, B, C, D$ be distinct digits from the set $\{0, 1, 2, \ldots, 9\}$. If $\frac{A+B}{C+D}$ is to be an integer that is as large as possible, under the added constraint that the total sum $A + B + C + D$ must be exactly 17, what is the maximum value of $A + B$?
A) 12
B) 14
C) 16
D) 15
E) 17

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