
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 an aquarium filled to the brim with water and tightly sealed, having the shape of a rectangular parallelepiped with dimensions 3 m $\times$ 4 m $\times$ 2 m, there are two small balls: one made of aluminum and one made of wood. Initially, the aquarium is at rest, and the distance between the balls is 2 meters. What is the maximum distance between the balls that can be observed if the aquarium starts to move with constant acceleration? Provide an example of a motion that achieves the maximum distance.

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