
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 there are exactly two digits the same, but these two digits are not adjacent, and also exclude numbers where the digits are in strictly increasing order?

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