
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 and no three consecutive terms are decreasing?
A) 10
B) 12
C) 16
D) 24
E) 32

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