
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
There exists a constant $d,$ so that among all chords $\overline{PQ}$ of the parabola $y = x^2$ passing through $D = (0,d),$
\[s = \frac{1}{PD} + \frac{1}{QD}\]is a fixed constant.  Find the constant $s.$

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