
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
If each digit of a positive integer is greater than the previous one, it is called an "increasing integer." Find the number of increasing integers that can be divided exactly by 15.

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