
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 circle M: $x^2 + y^2 - 2x - 4y + 1 = 0$, find the distance from the center of the circle M to the line defined by the parametric equations $\begin{cases} x=4t+3 \\ y=3t+1 \end{cases}$ (where $t$ is a parameter).

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