
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
(Discussion on Coordinate System and Parametric Equations)
The coordinates of the focus of the conic section given by the parametric equations $$\begin{cases} x=t^{2} \\ y=2t \end{cases}$$ (where $t$ is the parameter) are __________.

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