Kangaroos

Number Theory Level pending

We have 2016 kangaroos, each of them can be gray or red, and at least there is one of each color. For each kangaroo we write a fraction whose numerator is the number of kangaroos of the other color, and the denominator is the number of kangaroos of the same color as \(K\) (including \(K\)). Find the sum of these fractions, for the 2016 kangaroos.

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