
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
For any two pairs of real numbers $(a, b)$ and $(c, d)$, it is defined that $(a, b) = (c, d)$ if and only if $a = c$ and $b = d$;  
Define the operation "⊗" as: $(a, b) ⊗ (c, d) = (ac - bd, bc + ad)$,  
and the operation "⊕" as: $(a, b) ⊕ (c, d) = (a + c, b + d)$.  
Let $p, q \in \mathbb{R}$, if $(1, 2) ⊗ (p, q) = (5, 0)$, then $(1, 2) ⊕ (p, q) =$ .

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