
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
The cinema is currently showing four animated movies: "Toy Story", "Ice Age", "Shrek", and "The Monkey King", with ticket prices of 50 yuan, 55 yuan, 60 yuan, and 65 yuan respectively. Visitors to the cinema will watch at least one movie and at most two movies. Due to scheduling conflicts, "Ice Age" and "Shrek" cannot be watched together. If today exactly 200 people spend the same amount of money on tickets, what is the minimum number of visitors the cinema must have hosted today?

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