
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
A 6’x8’ bookshelf needs to be moved diagonally across a square office room to the opposite corner, as shown in a similar diagrammatic representation. Determine the minimum side length \( S \) of the square room so that the bookshelf can be moved without tilting or disassembling.
A) 9
B) 10
C) 11
D) 12

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