[0BW] Prerequisites:[0BS]βΊβ».Given xβR and NβN,Nβ₯2, prove that at least one element of the set {x,2x,β¦,(Nβ1)x} is at most distance 1/N from an integer, that is, there exist n,mββ€ with 1β€nβ€Nβ1 such that |nxβm|β€1/N.
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