
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 the first quadrant of the Cartesian coordinate plane, the points with integer coordinates are numbered as follows:
- (0,0) is point number 1
- (1,0) is point number 2
- (1,1) is point number 3
- (0,1) is point number 4
- (0,2) is point number 5
- (1,2) is point number 6
- (2,2) is point number 7
- (2,1) is point number 8
- (2,0) is point number 9

Following the sequence indicated by the arrows, what are the coordinates of the 2000th point?

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