
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
Consider the digits $1$, $2$, $3$, $4$, $5$, and $6$ written in order repeatedly forming a list of $15,000$ digits, starting $123456123456\ldots$. Paul then erases every second digit from this list (i.e., the $2$nd, $4$th, $6$th, $\ldots$ digits from the left), then erases every third digit from what remains (i.e., the $3$rd, $6$th, $9$th, $\ldots$ digits from the left in what remained), and finally erases every fourth digit from what remained then. What is the sum of the three digits that were in the positions $3031, 3032, 3033$?
A) 7
B) 9
C) 10
D) 11

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