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Source: Brazil TST 2001 Test 1 P3

April 28, 2021
algebra

Problem Statement

For which positive integers nn is there a permutation (x1,x2,…,xn)(x_1,x_2,\ldots,x_n) of 1,2,…,n1,2,\ldots,n such that all the differences ∣xk−k∣|x_k-k|, k=1,2,…,nk = 1,2,\ldots,n, are distinct?
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