
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
Among the three-digit numbers formed by the digits 1, 2, 3, …, 9, how many numbers have their digits in strictly increasing (like "156") or strictly decreasing (like "421") order?

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