
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 0A3. Reckha can't choose a code that is the same as mine in two or more of the three digit-positions, nor that is the same as mine except for switching the positions of two digits (so A30 and 30A, for example, are forbidden, but 3A0 is fine). Reckha can otherwise choose any three-digit code where each digit is in the set $\{0, 1, 2, \dots, 9, A, B, C, D, E, F\}$. How many codes are available for Reckha?

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