Organize a potluck with fewer duplicate dishes

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I want to organize a potluck with fewer duplicate dishes. Match volunteered dishes against gaps and constraints without assigning people unasked.

Use these inputs:
Guest contributions: [Add guest contributions]
Dietary needs: [Add dietary needs]
Headcount: [Add headcount]

Create: Potluck gap list and invitations.
Separate supplied facts from assumptions. Ask only for missing information that changes the result.
Make the result specific enough to use and include a short way to check or improve it.