
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 how many ways can the sequence $1, 2, 3, 4, 5, 6$ be rearranged so that no three consecutive terms are increasing, no three consecutive terms are decreasing, and numbers $5$ and $6$ must appear consecutively?
A) 15
B) 18
C) 20
D) 24
E) 30

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