
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
Let  $[ABCD]$  be a convex quadrilateral with area  $2014$ , and let  $P$  be a point on  $[AB]$  and  $Q$  a point on  $[AD]$  such that triangles  $[ABQ]$  and  $[ADP]$  have area  $1$ . Let  $R$  be the intersection of  $[AC]$  and  $[PQ]$ . Determine  $\frac{\overline{RC}}{\overline{RA}}$ .

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