
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
Each cell of a \(2017 \times 2017\) board contains a chip. In one operation, you can remove a chip that has a nonzero even number of neighbors (neighbors are chips located in cells adjacent by side or corner). What is the minimum number of chips that can be left on the board using such operations?

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