
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
Teacher Wang took students to a competition and stayed at a hostel. The hostel offered two discount plans: Plan 1, Teacher Wang stays for free, and students are charged the original price of 25 yuan/day per person; Plan 2, everyone is charged 80% of the original price. Please help Teacher Wang choose which plan is more cost-effective and explain why.

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