
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 Cartesian coordinate system, the points are A1(1, 1), A2(2, 4), A3(3, 9), A4(4, 16), ..., based on the pattern you observe, determine the coordinates of point A9.

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