
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 $α \in (0, \frac{π}{2})$ and $β \in (0, \frac{π}{2})$, and they satisfy the equation $\sqrt{3}\cos^{2}{\frac{α}{2}} + \sqrt{2}\sin^{2}{\frac{β}{2}} = \frac{\sqrt{2}}{2} + \frac{\sqrt{3}}{2}$ and $\sin(2017π - α) = \sqrt{2}\cos(\frac{5π}{2} - β)$, find the value of $α + β$.

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