
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, and the sequence does not start and end with consecutive numbers (i.e., 1 and 2 or 5 and 6)?
A) 70
B) 72
C) 76
D) 80
E) 84

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