
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
My three-digit code is 145. Reckha can't choose a code that shares the exact same position for two or more digits (for example, 245, 195, and 140 are not allowed). Additionally, any code that results from a full transposition of two digits from my code (i.e., switching the positions of any two digits, so 415 and 514, for example, are forbidden) is also not allowed. Reckha can, however, choose any three-digit code in which every digit is from the set $\{0, 1, 2, ..., 9\}$. How many three-digit codes are available for Reckha?

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