
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 that the pole of the polar coordinate system coincides with the origin of the Cartesian coordinate system, and the polar axis coincides with the non-negative half of the x-axis, the polar coordinates of point M are M(2, $\frac{\pi}{2}$). The parametric equation of line $l$ is $\begin{cases} \left.\begin{matrix}x=2t \\ y=-t+1\end{matrix}\right.\end{cases}$ (where $t$ is the parameter). The distance from point M to line $l$ is \_\_\_\_\_\_.

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