
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
Given a tour group of 92 people who dine at a fast-food restaurant with 9 different dishes priced 1, 2, 3, 4, 5, 6, 7, 8, and 9 yuan, calculate the minimum number of group members who have chosen exactly the same set of dishes, given that each person can choose different dishes, the total cost must be exactly 10 yuan, and each type of dish can be purchased at most once.

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