
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
If the number of observation points in the three counties are 6, $y$, and $z$, respectively, where 6, $y$, $z+6$ form a geometric sequence, and 6, $y$, $z$, $z+6$ form an arithmetic sequence, calculate the number of data points that should be extracted for Rongcheng.

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