
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 a line \\(l\\) passing through the point \\(P(t,0)\\) (where \\(t > 0\\)) intersects the circle \\(C\\): \\(x^{2}+y^{2}-2x+4y-4=0\\) and forms a chord \\(AB\\) with a length of \\(4\\). If the line \\(l\\) is unique, then the equation of this line is \_\_\_\_\_\_.

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