
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
A necklace consists of 50 blue, 100 red, and 100 green beads. We will call a sequence of four consecutive beads "good" if it contains exactly 2 blue beads, 1 red bead, and 1 green bead. What is the maximum number of good sequences that can exist in this necklace? (The beads in the necklace are arranged cyclically, meaning the last bead is adjacent to the first.)

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