
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 variant of a monotonous number as a positive integer in which either every pair of consecutive digits consists of the first digit being twice the second digit, or the digits, when read from left to right, are strictly decreasing. For example, 42684 is a variant monotonous number (since 4 is twice 2, 6 is thrice 2, and 8 is twice 4), but 321 although decreasing is not variant monotonous according to our new definition, and 16 is not because 6 is not three times 1. How many such variant monotonous numbers of up to 4 digits are there?
A) 12  
B) 13  
C) 14  
D) 15

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