
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
In an encryption scheme, every positive integer is translated into base 4, and each digit of the base 4 expression is then replaced by a unique symbol from the set $\{A, B, C, D\}$. An analyst notes that three continuously increasing integers encode as ${ABC}, {ABD}, {BAA}$, respectively. What is the integer represented in base-$10$ that would be encoded as $BCD$?
A) 23 
B) 25 
C) 27 
D) 29 
E) 31

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