Where is the ant after 2018 steps?

Geometry Level 1

An ant begins from \( (0,0) \) in the \(xy\)-coordinate plane. It then travels to each point with non-negative integer coordinates following the pattern shown below.

If the ant stops moving after \( 2018 \) units, find its final position \( (x,y) \) and enter your answer as \(x+y.\)

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