
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 committee is planning a seated dinner for a group of 13 employees, consisting of 5 managers, 2 engineers, 4 designers, and 2 interns. They want to seat them around a round table for a meeting discussion but want to ensure that the 2 interns are not sitting next to each other as they are shy. How many ways can they arrange the seating under this condition?

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