Contribution of Gaia Sausage to the Galactic Stellar Halo Revealed by K Giants and Blue Horizontal Branch Stars from the Large Sky Area Multi-Object Fiber Spectroscopic Telescope, Sloan Digital Sky Survey, and Gaia

We explore the contribution of Gaia-Sausage to stellar halo Milky Way by making use a Gaussian Mixture model (GMM) and applying it star samples LAMOST K giants, SEGUE SDSS blue horizontal branch stars. The GMM divides into two parts, which one represents more metal-rich highly radially biased component associated with an ancient, head-on collision referred as Gaia-Sausage, other is metal-poor isotropic halo. A symmetric bimodal used describe distribution spherical velocity we find that mean absolute radial lobes decreases Galactocentric radius. contributes about $41\%-74\%$ inner (Galactocentric radius $r_\mathrm{gc} < 30$ kpc) fraction stars starts decline beyond \sim$ $25-30$ kpc, outer found be significantly less influenced than After removal substructures integrals motion, \textit{Gaia}-Sausage falls slightly within 25 but still high $30\%-63\%$. Finally, select several possible Sausage-related consisting on eccentric orbits. GMM/Sausage agrees well selected substructure in their chemodynamical properties, increases our confidence reliability fits.