
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
Paul wrote a list of the 100 smallest positive integers greater than 10, where all the digits are 9 except for the last digit (the units digit), which is 7.

(a) How many digits equal to 9 did Paul write on the list?

(b) If \( S \) is the sum of all the numbers on the list, what is the sum of the digits of \( S \)?

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