
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
In a race where the distance is $\frac{h^2}{100}$ meters, Sunny is exactly $2d$ meters ahead of Windy when Sunny finishes the race. In their next encounter, Sunny starts $2d$ meters behind Windy, who is at the starting line. If both runners maintain the same constant speeds as in the first race, how many meters ahead or behind is Sunny when Sunny finishes the second race?
A) $\frac{200d^2}{h^2}$
B) $\frac{300d^2}{h^2}$
C) $\frac{400d^2}{h^2}$
D) $\frac{500d^2}{h^2}$
E) $\frac{600d^2}{h^2}$

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