
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 the parametric equations of line $l$ as $$\begin{cases} x= \frac { \sqrt {2}}{2}t \\ y=1+ \frac { \sqrt {2}}{2}t \end{cases}$$ (where $t$ is the parameter) and the parametric equations of circle $C$ as $$\begin{cases} x=\cos\theta+2 \\ y=\sin\theta \end{cases}$$ (where $\theta$ is the parameter), find the distance from the center of circle $C$ to line $l$.

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