2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96698The X=M conjecture of Hatayama et al. asserts the equality between the one-dimensional configuration sum X expressed as the generating function of crystal paths with energy statistics and the fermionic formula M for all affine Kac--Moody algebra. In this paper we prove the X=M conjecture for tensor products of Kirillov--Reshetikhin crystals B^{1,s} associated to symmetric powers for all nonexceptional affine algebras.40 pages; to appear in J. AlgebraQuantum AlgebraCombinatorics17B37; 81R10; 81R50; 82B23; 05A30text