
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
Divide the set $\{1,2, \cdots, n\}$ arbitrarily into two subsets. One of these subsets must have 2017 positive integers (not necessarily distinct) $x_{1}, x_{2}, \cdots, x_{2017}$ such that $x_{1} + x_{2} + \cdots + x_{2016} = x_{2017}$. Find the smallest positive integer $n$ satisfying this condition.

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