Chef and Gordon Ramsay

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Chef really admires Gordon Ramsay. Both of them have restaurant chains. While Chef's restaurant chain consists of $N$ facilities (numbered $1$ through $N$), Gordon Ramsay has only $3$, and yet Gordon's restaurants are superior. Chef's marketing team has figured out how to take over the market. According to them, the problem is that the customers have too many restaurants to choose from and that Go

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