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Complete non-ambiguous trees (CNATs) are combinatorial objects which appearin various contexts. Recently, Chen and Ohlig studied the notion of leafpermutation on these objects, and proposed a series of nice conjectures. Mostof them were proved by Selig and Zhu, through a connexion with the abeliansandpile model. But one conjecture remained open, about the distribution of anatural statistic named determinant. We prove this conjecture, in a bijectiveway.

About the determinant of complete non-ambiguous trees