
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
Sets $C$ and $D$ are such that the total number of elements in set $C$ is three times the total number of elements in set $D$. The union of $C$ and $D$ contains 4500 elements, and their intersection includes 1200 elements. Determine the total number of elements in set $C$.

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