
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
There are 101 trees planted in a row: poplars, birches, and pines. Between any two poplars, there is at least one tree, between any two birches, there are at least two trees, and between any two pines, there are at least three trees. How many pines could have been planted? List all possible options.

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