
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
The gardening association is a square \(8 \times 8\), divided into 64 equal square plots. Dandelions are growing on the plots. On one plot, there are 19 dandelions, and on another, there are 6. The number of dandelions on each plot differs from the number on any adjacent plot (i.e., a plot sharing a common side) by exactly 1. How many plots can have 19 dandelions? Find all possible options.

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