
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
A cryptographer maps the digits from a base-4 number to elements in the set $\{A, B, C, D\}$. For encoding, three consecutive integers when changed to base-4 are represented as $ABC, ABD, ACA$. Identify the base-10 representation of the integer coded as $BCD$.

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