
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
Dr. Math's four-digit house number $ABCD$ contains no zeroes and can be split into two unique two-digit primes `$AB$` and `$CD$`. Every digit $A$, $B$, $C$, and $D$ can be the same or different. If each of the two-digit primes is less than 50, how many such house numbers are possible?

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