
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
Doug and Dave shared a pizza with 12 equally-sized slices. The cost of a plain pizza was 12 dollars, and there was an additional cost of 3 dollars for putting bacon on three-quarters of it. Dave ate all 9 bacon slices and one plain slice, while Doug ate the remainder. If each person paid for what he had eaten, what was the difference in the total cost of what Dave paid and what Doug paid?

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