
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
In a store, different sales promotions are being compared to find the most cost-saving option for customers. Given the new sales options below, find the smallest possible positive integer value of $n$ such that a single discount of $n\%$ is more beneficial than any of the following discounts:
1. Two successive $20\%$ discounts
2. A $10\%$ discount followed by a $15\%$ discount
3. Three successive $8\%$ discounts
A) 35
B) 36
C) 37
D) 38
E) 39

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