
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 $a, b \in \mathbb{R}$, define: (1) If $a < b$, then $a \oplus b = a$, $a \otimes b = b$; (2) Calculate expressions inside parentheses first. Then, what is the result of the operation $(2003 \oplus 2004) \otimes (2005 \oplus 2006)$?

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