
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
Through the point with coordinates $(2,2)$, lines (including two parallel to the coordinate axes) are drawn, which divide the plane into angles of $18^{\circ}$. Find the sum of the x-coordinates of the points of intersection of these lines with the line $y = 2016 - x$.

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