Home Competitions OBM 2009 Problem 6
Let n > 3 n > 3 n > 3 x 1 , x 2 , … , x n x_1,x_2,\ldots, x_n x 1 , x 2 , … , x n n n n x 1 x n + x 1 + x 2 + x 2 x 1 + x 2 + x 3 + x 3 x 2 + x 3 + x 4 + ⋯ + x n − 1 x n − 2 + x n − 1 + x n + x n x n − 1 + x n + x 1 {x_1\over x_n+x_1+x_2} + {x_2\over x_1+x_2+x_3} + {x_3\over x_2+x_3+x_4} + \cdots + {x_{n-1}\over x_{n-2}+x_{n-1}+x_n} + {x_n\over x_{n-1}+x_n+x_1} x n + x 1 + x 2 x 1 + x 1 + x 2 + x 3 x 2 + x 2 + x 3 + x 4 x 3 + ⋯ + x n − 2 + x n − 1 + x n x n − 1 + x n − 1 + x n + x 1 x n
Dataset text AI-MO AoPS . Quoted with source.
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