
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
Using the digits 0, 1, 2, 3, and 4, find the number of 13-digit sequences that can be written such that the difference between any two consecutive digits is 1. Examples of such 13-digit sequences are 0123432123432, 2323432321234, and 3210101234323.

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