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Algebra Level 3

a1ab1bc1c\dfrac{a}{1-a}\cdot\dfrac{b}{1-b}\cdot\dfrac{c}{1-c}

For a,b,ca,b,c are real numbers such that 0<a,b,c<1\displaystyle{0<a,b,c<1} with a+b+c=2a+b+c = 2 . Find the minimum value of the above expression.

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