
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
There is a sequence where the first term is 12 and the second term is 19. From the third term onward, if the sum of its preceding two terms is odd, the term equals the sum of these two terms. If the sum of its preceding two terms is even, the term equals the difference between these two terms (larger number minus smaller number). Determine which term in this sequence first exceeds 2016.

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