Two-dimensional density distribution of giant candidates with Δν_pred < 5.5 μHz in the ﹩({\rm{\Delta }}{{\rm{\Pi }}}_{1,{\rm{pred}}},\,{\sigma }_{{\rm{\Delta }}{{\rm{\Pi }}}_{1}})﹩ plane, where ﹩{\sigma }_{{\rm{\Delta }}{{\rm{\Pi }}}_{1}}﹩ is the width of the selected Gaussian component. The red solid box marks the Tier 1 high-purity cut (ΔΠ_1,pred ≥ 250 s and ﹩{\sigma }_{{\rm{\Delta }}{{\rm{\Pi }}}_{1}}\lt 20﹩ s), and the blue dashed box marks the Tier 2 high-completeness cut (ΔΠ_1,pred ≥ 250 s and ﹩{\sigma }_{{\rm{\Delta }}{{\rm{\Pi }}}_{1}}\lt 40﹩ s).