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KöMaL 2015 B4731

    Let 0≤a,b,c≤20\le a,b,c \le 2, and a+b+c=3a+b+c=3. Determine the largest and smallest values of a(b+1)+b(c+1)+c(a+1).\sqrt{a(b+1)} + \sqrt{b(c+1)} + \sqrt{c(a+1)}.

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