
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 modified monotonous number as either a one-digit number or a number whose digits, when read from left to right, form strictly increasing sequence using digits 0 to 9, or strictly decreasing sequence using digits 1 through 9 but allowing a leading zero. How many modified monotonous positive integers are there?

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