
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
Consider a store that offers a single discount of $m\%$. Determine the smallest positive integer value of $m$ such that it provides more savings than the following discount schemes:
(1) A single $20\%$ discount and then a $10\%$ discount on the reduced price.
(2) Three successive $8\%$ discounts.
(3) Two successive discounts of $12\%$ each.
A) 27
B) 28
C) 29
D) 30
E) 32

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