
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
In Chinese ancient music, the pentatonic scale is the basic scale, hence the idiom "五音不全" (meaning "lacking in musical talent"). The five notes of the pentatonic scale in Chinese ancient music are: 宫 (gong), 商 (shang), 角 (jue), 徵 (zhi), 羽 (yu). If these five notes are all used and arranged into a sequence of five notes, with the condition that 宫 (gong), 角 (jue), and 羽 (yu) cannot be adjacent to each other, the number of different possible sequences is ______.

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