
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
On six trees, there are six birds, with one bird on each tree. The trees are lined up with intervals of 10 meters between them. If one bird flies from one tree to another, another bird always flies the same number of meters but in the opposite direction.

a) Can all the birds gather on one tree?

b) What if there are seven birds and seven trees?

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