
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 pizza with 10 equally-sized slices costs 10 dollars. Adding anchovies to one-third of the pizza costs an additional 3 dollars. Dave ate all the slices with anchovies and two plain slices. Doug ate the remainder. Each paid for what he had eaten. Find the difference, in dollars, between the amount Dave paid and the amount Doug paid.

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