
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
In parallelogram  $ ABCD$ , point  $ M$  is on  $ \overline{AB}$  so that  $ \frac{AM}{AB} \equal{} \frac{17}{1000}$  and point  $ N$  is on  $ \overline{AD}$  so that  $ \frac{AN}{AD} \equal{} \frac{17}{2009}$ . Let  $ P$  be the point of intersection of  $ \overline{AC}$  and  $ \overline{MN}$ . Find  $ \frac{AC}{AP}$ .

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