
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
Calculate the sum of the numbers formed by repeating each digit from 2 to 9 such that each digit d forms a number by repeating it d times, i.e., calculate $$2+33+444+5555+66666+777777+8888888+99999999$$ and find the result modulo 9.

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