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...olves an open problem which was proposed by Aldous [Ald-b] as one of his six favorite open problems. It was also mentioned as an open problem in several other places: Conjecture 2.20 in [Wor99], [BR],=-=[JT08]-=- and [AS03]). Our approach is based on extending and simplifying the interpolation method of Guerra and Toninelli [GT02] and Franz and Leone [FL03]. Among other applications, this method was used to p...