
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 product of the two $100$-digit numbers $5050505050\dots5050$ and $7070707070\dots7070$. Find the thousands digit $C$ and the units digit $D$ of this product. What is the sum of $C$ and $D$?
A) 3
B) 0
C) 4
D) 5

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