
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
Given letters $A, B, C,$ and $D$ represent four different digits selected from $1, 2, \ldots, 9$, calculate the value of $A+B+1$, where $\frac{A+B+1}{C+D}$ is an integer that is as large as possible.

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