
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
The product of the two $101$-digit numbers $707,070,707,...,070,707$ and $909,090,909,...,090,909$ has tens digit $C$ and units digit $D$. Find the sum of $C$ and $D$.

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