
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
At a sandwich shop, there are five types of bread, seven kinds of meat, and six kinds of cheese. A sandwich is made up of one type of bread, one type of meat, and one type of cheese. Turkey, salami, Swiss cheese, and rye bread are available at the shop. If a customer does not order a sandwich with a turkey/Swiss cheese combination nor a sandwich with rye bread/salami, how many different sandwiches can the customer order?

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