
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
Consider a  $1$  by  $2$  by  $3$  rectangular prism. Find the length of the shortest path between opposite corners  $A$  and  $B$  that does not leave the surface of the prism.
![Image](https://cdn.artofproblemsolving.com/attachments/7/1/899b79b0f938e63fe7b093cecff63ed1255acb.png)

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