
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
Let \( S(n) \) be the sum of the digits of an integer \( n \). For example, \( S(327) = 3 + 2 + 7 = 12 \). Find the value of

\[ 
A = S(1) - S(2) + S(3) - S(4) + \ldots - S(2016) + S(2017)
\]

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