
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
There are 36 instructors on the jury of the "13 Element: ALchemy of the Future" competition. Working groups of 4 are formed such that no instructor is a member of more than two groups. What is the greatest number of working groups that can be formed?
a) 16

b) 17

c) 18
d) 19

e) 20

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