Home Competitions BALKAN-SL 2015 A3
Let a , b , c ,b,c , b , c m a , m b , m c m_a,m_b,m_c m a , m b , m c m a ( b a − 1 ) ( c a − 1 ) + m b ( a b − 1 ) ( c b − 1 ) + m c ( a c − 1 ) ( b c − 1 ) ≥ 0. m_a\left(\frac{b}{a}-1\right)\left(\frac{c}{a}-1\right)+
m_b\left(\frac{a}{b}-1\right)\left(\frac{c}{b}-1\right)
+m_c\left(\frac{a}{c}-1\right)\left(\frac{b}{c}-1\right)\geq 0. m a ( a b − 1 ) ( a c − 1 ) + m b ( b a − 1 ) ( b c − 1 ) + m c ( c a − 1 ) ( c b − 1 ) ≥ 0.
Dataset text AI-MO AoPS . Quoted with source.
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