
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 now encodes positive integers using the following revised method: Starting with integer interpretation in base $4$, and linking each digit to symbols in the set $\{P, Q, R, S, T\}$. The encoded versions of three consecutive integers are $PQR, PQS, PPT$ respectively. Identify the integer represented as $PQS$ in base-$10$.
A) 15
B) 17
C) 19
D) 21
E) 23

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