
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
Find the number of intersection points between the line $\begin{cases}x=t-1 \\ y=2-t\end{cases} (t\text{ is the parameter})$ and the curve $\begin{cases}x=3\cos \theta \\ y=2\sin \theta\end{cases} (\theta\text{ is the parameter})$.

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