
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 equation of line $l$ as 
$$
\begin{cases} 
x = 1 + t \\
y = t - 1
\end{cases}
$$
($t$ is the parameter), and establishing a polar coordinate system with the origin as the pole and the positive x-axis as the polar axis, the polar equation of circle $C$ is $\rho = 1$. The minimum distance from a point on circle $C$ to line $l$ is ______________.

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