
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 plane coordinate system, the distance from point $(x_{0}, y_{0})$ to the line $Ax+By+C=0$ is $d=\frac{{|A{x_0}+B{y_0}+C|}}{{\sqrt{{A^2}+{B^2}}}}$. By analogy, in a three-dimensional Cartesian coordinate system, the distance from point $(1,2,3)$ to the plane $x+2y+2z-4=0$ is ____.

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