
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
Given a circular pizza with $10$ equally-sized slices, Cindy and Bob split it such that Cindy gets the remaining plain slices after Bob eats half of the pizza with double cheese and two of the plain slices. The plain pizza costs $\12$, and adding double cheese to half of the pizza costs an additional $\4$. Determine how much more Bob paid than Cindy.

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