
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 the consumer, a single discount of $n\%$ is more advantageous than any of the following discounts:
1. Two successive $20\%$ discounts
2. Three successive $15\%$ discounts
3. A $30\%$ discount followed by a $10\%$ discount
4. A $40\%$ discount followed by two successive $5\%$ discounts
What is the smallest possible positive integer value of $n$?
A) 44
B) 45
C) 46
D) 47
E) 48

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