
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 the polar equation of curve $C_{1}$ is $\rho=R(R > 0)$, and the parametric equation of curve $C_{2}$ is $\begin{cases} x=2+\sin^{2}\alpha \\ y=\sin^{2}\alpha \end{cases}$ (where $\alpha$ is the parameter), if $C_{1}$ and $C_{2}$ have common points, determine the range of values for $R$.

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