In a party of $2020$ people, some pairs of people are friends. We define a person's popularity as the size of the largest group of people in the party containing them such that every pair of people in that group are friends. A person has a popularity number of $1$ if they have no friends. What is the largest possible number of distinct popularities in the party?

Let's think step by step and output the final answer within \boxed{}.
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