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A combinatorial proof of the Chan--Robbins--Yuen volume formula
The Chan--Robbins--Yuen polytope $\mathrm{CRY}_{m+1}$ has normalized volume $\prod_{j=1}^{m-1}C_j$, a product of Catalan numbers. Zeilberger proved the formula using the Morris constant-term identity; finding a combinatorial proof remained an open problem. We give such a proof by counting nonnegativ
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