
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 \(a, c, d\) are integers, \( b \) is a positive integer, and they satisfy \(a + b = c\), \(b + c = d\), and \(c + d = a\), find the maximum value of \(a+b+c+d\).

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