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AUSTRIAN-POLISH 1999 Problem 2

    Find the best possible k,k′k,k' such that k<vv+w+ww+x+xx+y+yy+z+zz+v<k′k<\frac{v}{v+w}+\frac{w}{w+x}+\frac{x}{x+y}+\frac{y}{y+z}+\frac{z}{z+v}<k' for all positive reals v,w,x,y,zv,w,x,y,z .

    Dataset text AI-MO AoPS. Quoted with source.

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