
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 their base $10$ representations, the integer $p$ consists of a sequence of $4$ threes followed by $4$ ones (i.e., 33331111), and the integer $q$ consists of a sequence of $4$ sevens followed by $4$ twos (i.e., 77772222). What is the sum of the digits of the base $10$ representation of the product $pq$?
A) 64
B) 65
C) 66
D) 67
E) 68

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