
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
Points $R$ and $S$ are on line segment $CD$, and both points are on the same side of the midpoint of $CD$. Point $R$ divides $CD$ in the ratio $3:5$, and $S$ divides $CD$ in the ratio $4:7$. If $RS=1$, then calculate the length of segment $CD$.

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