
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 matches mine in two or more of the three digit-positions, nor can she choose a code that is the same as mine except for switching the positions of two digits (so 451 and 514, for example, are forbidden, but 154 is acceptable). Reckha can otherwise choose any three-digit code where each digit is in the set $\{0, 1, 2, ..., 9\}$. How many codes are available for Reckha?

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