
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
For a consumer, a single discount of $n\%$ is more advantageous than any of the following discounts:
(1) two successive $12\%$ discounts
(2) three successive $8\%$ discounts
(3) a $20\%$ discount followed by a $10\%$ discount.
What is the smallest possible positive integer value of $n$?
A) 27
B) 28
C) 29
D) 30
E) 31

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