
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 that $A, B, C, D$ and $A+C, B+C, B+D, D+A$ represent the eight distinct natural numbers from 1 to 8, and if $A$ is the largest among $A, B, C, D$, what is $A$?

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