
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
In a polar coordinate system with the origin as the pole and the positive half of the x-axis as the polar axis, let line $l$: $\rho(\cos \theta+\sin \theta)=2$. Let $M$ be the intersection point of $l$ with the circle $x^{2}+y^{2}=4$. The radial distance $\rho$ of $M$ is ______.

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