
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
While preparing for the district olympiad, each jury member participated in no more than 10 discussions. There are two types of discussions: small and large. In a small discussion, 7 jury members participate, each sending exactly one email to each of the 6 other members. In a large discussion, 15 jury members participate, each sending exactly one email to each of the 14 other members. A total of 1994 emails were sent, not counting the emails sent by the secretary. In how many discussions did the secretary participate?

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