
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
In a sequence of numbers x<sub>1</sub>, x<sub>2</sub>, x<sub>3</sub>, ..., it is known that x<sub>1</sub> = 1, and when k ≥ 2, x<sub>k</sub> = x<sub>k-1</sub> + 1 - 4 (⌊(k-1)/4⌋ - ⌊(k-2)/4⌋) (where the floor function ⌊a⌋ represents the largest integer not greater than the real number a, for example, ⌊3.2⌋ = 3, ⌊0.3⌋ = 0). Find x<sub>2018</sub>.

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