
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
Example 6: A commercial building purchased 1,000 units of a certain product, setting the selling price at 125% of the purchase price. Now, it is planned to offer a 10% discount off the original selling price during the holiday season, selling no more than 100 units of the product, and to have a clearance sale at 60% of the original selling price during the off-season. To ensure profitability after all products are sold, how many units must be sold at the original price outside of the holiday and off-season periods?

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