
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
How many three-digit numbers remain if we exclude all three-digit numbers in which either the first and second digits are the same or the second and third digits are the same, but if any digit is repeated, it cannot be zero?

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