
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
Digits $A, B, C,$ and $D$ are four different digits selected from $1,2,3,4,5,6,7,8,9$. If $\frac{A+B}{C+D}$ is a perfect square and as large as possible, what is the value of $A+B$?
A) 13
B) 14
C) 15
D) 16
E) 17

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