Problem $4$: The soils have been tested for organic content and have shown negligible amounts of organic matter. Table $1$ summarizes the results of sieve analyses and index properties on selected samples. Plot all gradation curves and determine gradation characteristics as required for classification only. For clarity, plot the curves for samples P$1-1,$ P$2-1,$ P$3-1,$ and P$5-1$ on the same graph and the remaining tests on another graph.

Problem $5$: Classify all samples in Problem $4$ based on the USCS.

Table $1$: Soil characteristics

$\backslash$table$[[\backslash$table$[[$Sieve$,$Sieve Opening,Soil Samples $($Percent Passing$),],[$No$.,(mm),P1-1,P1-2,P1-3,P2-1,P2-2,P3-1,P3-2,P4-1,P5-1,P5-2,P5-3$