
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
Grandfather has three apple trees in his garden with a total of 39 apples. The apples grow on only eight branches: one tree has two fruit-bearing branches, and two trees have three fruit-bearing branches each. The number of apples on different branches is different, but each tree has the same total number of apples.

How many apples could be on each branch? Determine at least one possible distribution.

(Hint: How many apples are on each tree?)

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