
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 parabola $y^2=2px$ ($p>0$) and a fixed point $P(x_0, y_0)$ ($y_0>0$) on it, two lines are drawn to intersect the parabola at points $A(x_1, y_1)$ and $B(x_2, y_2)$. If the slopes of $PA$ and $PB$ exist and their angles of inclination are complementary, then find the value of $$\frac {y_{1}+y_{2}}{y_{0}}$$.

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