
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 the following data, determine how much cheaper, in cents, is the cheapest store's price for Camera $Y$ compared to the most expensive one? 
\begin{tabular}{|l|l|}
\hline
\textbf{Store} & \textbf{Sale Price for Camera $Y$} \\ \hline
Mega Deals & $\$12$~off the list price~$\$52.50$ \\ \hline
Budget Buys & $30\%$~off the list price~$\$52.50$ \\ \hline
Frugal Finds & $20\%$~off the list price~$\$52.50$ plus an additional $\$5$~off \\ \hline
\end{tabular}

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