
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
How many sequences of 0s and 1s of length 17 are there that begin with a 0, end with a 0, contain no three consecutive 0s, and contain no three consecutive 1s?
A) 28
B) 37
C) 41
D) 45
E) 50

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