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Assuming the initial K\\\"ahler metric $\\omega_0$ admits a U(1)-invariant momentum profile, we give a criterion, characterized by the triple $(\\Sigma, L, [\\omega_0])$, under which the $\\mathbb{P}^1$-fiber collapses along the K\\\"ahler-Ricci flow and the projective bundle converges to $\\Sigma$ in Gromov-Hausdorff sense. Furthermore, the K\\\"ahler-Ricci flow must have Type I singularity and is of $(\\C^n \\times \\mathbb{P}^1)$-type. 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Assuming the initial K\\\"ahler metric $\\omega_0$ admits a U(1)-invariant momentum profile, we give a criterion, characterized by the triple $(\\Sigma, L, [\\omega_0])$, under which the $\\mathbb{P}^1$-fiber collapses along the K\\\"ahler-Ricci flow and the projective bundle converges to $\\Sigma$ in Gromov-Hausdorff sense. Furthermore, the K\\\"ahler-Ricci flow must have Type I singularity and is of $(\\C^n \\times \\mathbb{P}^1)$-type. 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