
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 room measures 18-feet by 9-feet. There is a fixed cabinet occupying a space of 3-feet by 2-feet in one corner of the room. How many square yards of carpet are needed to cover the floor of the room, excluding the space occupied by the cabinet?

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