
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 rectangular table with dimensions 9' by 12' sits in the corner of a square room. The owners plan to move the table to another position in the room as depicted in a similar scenario to the original one. What is the smallest integer value of \( S \) for the side of the room that allows the table to be moved without tilting or disassembling it?
A) 14
B) 15
C) 16
D) 17

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