
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
A particle starts at the origin and moves through the first quadrant with a modified pattern. During the first minute, it moves from $(0,0)$ to $(1,0)$. Thereafter, it alternates its pattern between horizontal and vertical movements, with the pattern changing as follows - for odd-numbered cycles, it increases its width by 1 unit each time, moving one unit per minute parallel to an axis. For even-numbered cycles, it increases its height by 1 unit, moving similarly. In addition, after completing each rectangular cycle, the particle skips 1 minute of movement before starting the next cycle. Where will the particle be after 1891 minutes?
A) (45, 44)
B) (44, 45)
C) (45, 46)
D) (46, 45)
E) (46, 46)

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