
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
Hexadecimal (base-16) numbers use digits $0$ through $9$ and letters $A$ through $F$ for values $10$ through $15$. Among the first $500$ positive integers, how many have a hexadecimal representation consisting only of numeric digits? Additionally, what is the sum of the digits of this count?
A) 12
B) 13
C) 14
D) 15
E) 16

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