
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 encodes positive integers using base $4$ instead of base $5$. She maps integers to the symbols $\{P, Q, R, S\}$. She finds that three consecutive integers are coded as $PQR, PQS, PPQ$, respectively. What is the base-$10$ number for the integer coded as $PQS$?
A) 31
B) 32
C) 33
D) 34

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