
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 string has 75 blue, 75 red, and 75 green beads. We define a sequence of 5 consecutive beads as "good" if it contains exactly 3 green beads, 1 red bead, and 1 blue bead. What is the maximum number of "good" sequences that can exist on this string?

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