
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 person sells their horse based on the number of horseshoe nails, which is 32. For the first nail, they ask for 1 pfennig, for the second nail - 2 pfennigs, for the third nail - 4 pfennigs, for the fourth nail - 8 pfennigs, and for each subsequent nail twice as much as the previous one. What is the total value they place on the horse?

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