
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
A line $l$ passes through point $A(1,0)$ with a direction vector of $\overrightarrow{d}=(2,-1)$.
(1) Find the distance from the origin $O$ to line $l$.
(2) Determine if line $l$ intersects with the curve $C$: $x^{2}+y^{2}-2x-4y-4=0$. If they do intersect, find the length of the chord.

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