
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
The number of intersection points between the line $\begin{cases} \overset{x=2+t}{y=-1-t}\end{cases}$ (where $t$ is the parameter) and the curve $\begin{cases} \overset{x=3\cos \alpha}{y=3\sin \alpha}\end{cases}$ (where $\alpha$ is the parameter) is ______.

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