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We find that the distribution of backbone mass follows the scaling {\\it ansatz}, $P(M_B)\\sim M_B^{-(\\alpha+1)}f(M_B/M_0)$, where $f(x)=(\\alpha+ \\eta x^{\\eta}) \\exp(-x^{\\eta})$ is a cutoff function, and $M_0$ and $\\eta$ are cutoff parameters. Our results from extensive computational simulations indicate that this scaling form is applicable to both correlated and uncorrelated cases. 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