
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
A gardener is preparing to plant a row of 20 trees, with the choice between two types of trees: maple trees and sycamore trees. The number of trees between any two maple trees (excluding these two maple trees) cannot be equal to 3. What is the maximum number of maple trees that can be planted in these 20 trees?

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