
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
A restaurant offers a meal service where each customer can select 2 meat dishes and 2 vegetarian dishes, making a total of 4 different types of dishes. If the restaurant has 5 different meat dishes available, and they want to ensure that each customer has more than 200 different combinations to choose from, then the restaurant needs to provide at least ____ different types of vegetarian dishes. (Express the result as a numerical value)

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