
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
The cost of 1 piece of gum is 1 cent. If you purchase more than 500 pieces of gum, the cost for each piece exceeding 500 pieces is reduced to 0.8 cents per piece. What is the cost of 1000 pieces of gum, in dollars?

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