
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 planning to plant a row of 20 trees. There are two types of trees to choose from: maple trees and sycamore trees. The number of trees between any two maple trees (excluding the two maple trees) cannot be equal to 3. What is the maximum number of maple trees that can be planted among these 20 trees?

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