
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 sandwich shop has five types of bread, seven types of meat, and six types of cheese. A sandwich is made up of one bread, one meat, and one cheese type. Chicken, pepper bacon, Swiss cheese, and rye bread are all available options. If Carl never orders a sandwich with a chicken/Swiss cheese combination, nor a rye bread/pepper bacon combination, and additionally avoids any sandwich containing both chicken and rye bread, how many different sandwiches could Carl order?

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