
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
I am attending a dinner at a Mexican restaurant. I follow a vegan diet and also have a nut allergy. There are 6 dishes at this restaurant that are vegan. This accounts for one third of the total menu. Furthermore, only one of these vegan dishes contains nuts. What fraction of the menu items at this restaurant can I eat, given that I need dishes to be both vegan and nut-free?

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