
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 is a garland of 100 bulbs on a Christmas tree. It is known that the first and fifth bulbs are yellow. Moreover, among any five consecutive bulbs, exactly two are yellow and exactly three are blue. Santa Claus can't see the entire garland from behind the tree. Help him determine the color and order of the bulbs in positions 97, 98, 99, and 100.

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