
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
Define a positive integer as super-monotonous if it is monotonous (either a one-digit number or its digits form a strictly increasing or strictly decreasing sequence) and additionally is divisible by 3. For example, 123, 963, and 6 are super-monotonous, but 321, 987, and 3 are not (since 321 and 987 are not divisible by 3). How many super-monotonous numbers are there that are composed of digits from 1 to 9 only, include no repeating digits, and can be at most 9 digits long?
A) 21
B) 31
C) 43
D) 45
E) 50

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