
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
Find the stationary points of the following functions:

1) \( f(x, y) = (x-3)^2 + (y-2)^2 \)
2) \( f(x, y, z) = x^2 + 4y^2 + 9z^2 - 4x + 16y + 18z + 1 \).

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