
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 coordinate space, find the length of the shortest path between the points $(0, 1, 2)$ and $(22, 4, 2)$ along the surface of a rectangular parallelepiped bounded by the planes $x = 22$, $y = 5$, $z = 4$, and the three coordinate planes.

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