
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 the third bulbs are yellow. Additionally, among any five consecutive bulbs, there are exactly two yellow and exactly three blue bulbs. Santa Claus can only see part of the garland. Help him determine the color and the order of the bulbs in the 97th, 98th, 99th, and 100th positions.

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