
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 consumer is comparing single discounts with cumulative sequential discounts on a product. Determine the minimum integer percentage discount \( n\% \) which is more beneficial than:
(1) Two successive discounts of 20% and 10%,
(2) Four successive 8% discounts,
(3) A 30% discount followed by a 10% discount.
What is the smallest possible positive integer value of \( n \)?
A) 35
B) 36
C) 37
D) 38
E) 39

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