as a backfill or as a stabilized subgrade. The requirements of the project are $"$SP$"$ for the backfill and a $"$A$-2-6"$ or better for the stabilized subgrade. Classify the soil using the required classification system. Provide proof of your classification process, a gradation curve and liquid limit determination method. $(45\%)$

$\backslash$table$[[$Total Mass,$31492\mathrm{.}50$gr$],[$Alternative Sieve Designation,Cumulative Retained Weight $($gr$)],[3^{\text{'}\text{'}},0\mathrm{.}0],[\frac{11}{2^{\text{'}\text{'}}},475\mathrm{.}1],[1^{\text{'}\text{'}},970\mathrm{.}5],[\frac{3}{4^{\text{'}\text{'}}},1306\mathrm{.}1],[\frac{1}{2^{\text{'}\text{'}}},1798\mathrm{.}3],[\frac{3}{8^{\text{'}\text{'}}},2047\mathrm{.}7],[$No$.4,2513\mathrm{.}1],[$No$.10,4931\mathrm{.}7],[$Sub sample Mass,$115\mathrm{.}5gr$