
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
The terms of the sequence \((a_i)\) are defined by \(a_{n + 2} = \frac {a_n + 2028} {1 + a_{n + 1}}\) for \(n \ge 1\), where the terms are positive integers. Find the minimum possible value of \(a_1 + a_2\).

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