
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
Lanxi City's Liudong Mountain Natural Ecological Scenic Tourism Area, with its beautiful mountains and clear waters, attracts tourists from all directions. To attract more tourists during the "May Day" Golden Week, the management has introduced two group ticket discount schemes on top of the regular ticket price of a yuan per person: Scheme A allows two people in the group to purchase at the original price, with the rest enjoying a 25% discount; Scheme B offers a 20% discount per person based on the group size. If a group has 18 people, which discount scheme is more cost-effective, and how much can be saved compared to the other scheme?

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