
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 a parallelogram with points $M$ on side $AB$ and $N$ on side $CD$ such that $A M: M B = C N: N D = m$. The diagonal $AC$ intersects lines $DM$ and $BN$ at points $R$ and $S$ respectively. What is the ratio $\frac{AC}{RS}$?

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