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a,b,ca,b,ca,b,c are non-negative real numbers satisfying a+b+c=1a+b+c=1a+b+c=1.
The maximum value of
ab+bc+ca−2abcab+bc+ca-2abcab+bc+ca−2abc
can be written as mn\frac{m}{n}nm ; where m,n m,nm,n are relatively prime. Find m+nm+nm+n.
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