・Romania 1997　xyz=1, x, y, z>0

(x^9+y^9)/(x^6+x^3y^3+y^6) + (y^9+z^9)/(y^6+y^3z^3+z^6) + (z^9+x^3)/(z^6+z^3x^3+x^6) ≧ 2


・Lithuania 1987　x, y, z>0

x^3/(x^2+xy+y^2) + y^3/(y^2+yz+z^2) + z^3/(z^2+zx+x^2) ≧ (x+y+z)/3