
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 circle $O: x^{2}+y^{2}=4$ (where $O$ is the origin) passes through the endpoints of the minor axis and the two foci of the ellipse $C: \dfrac {x^{2}}{a^{2}}+ \dfrac {y^{2}}{b^{2}}=1 (a > b > 0)$, find the standard equation of the ellipse $C$.

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