Home Competitions US-TST 2014 Problem 4
Let n n n c 1 , c 2 , … , c n − 1 c_{1}, c_{2}, \ldots, c_{n-1} c 1 , c 2 , … , c n − 1 ∑ i = 1 n − 1 ∣ c i − 1 ∣ < 1 \sum_{i=1}^{n-1}\left|c_{i}-1\right|<1 i = 1 ∑ n − 1 ∣ c i − 1 ∣ < 1 2 x n − c n − 1 x n − 1 + c n − 2 x n − 2 − ⋯ − c 1 x 1 + 2 2 x^{n}-c_{n-1} x^{n-1}+c_{n-2} x^{n-2}-\cdots-c_{1} x^{1}+2 2 x n − c n − 1 x n − 1 + c n − 2 x n − 2 − ⋯ − c 1 x 1 + 2
Dataset text NuminaMath olympiads . Quoted with source.
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