
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
Samantha and Bob shared a pizza with $12$ equally-sized slices. Samantha wanted a plain pizza, but Bob wanted olives on one-third of the pizza. The cost of a plain pizza was $12$ dollars, and there was an additional cost of $3$ dollars for putting olives on one-third of it. Bob ate all the slices with olives and three plain slices. Samantha ate the remainder. Each paid for what they had eaten.

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