Carry out a three$-$layer flexible pavement for Old Shell Road. The County specifications are: Reliability $=90\%,$ S$.$D$.=0\mathrm{.}45,$ PSI $=1\mathrm{.}9,MR$ values of $15,700($base$),12,280$ psi $($subbase$)$ and $5,250$ psi $($subgrade$).$Design traffic load is $1$ million ESAL. Assume $M_2=1,M_3=1.$ Structural coefficients for surface, base and subbase are $0\mathrm{.}35,0\mathrm{.}2$ and $0\mathrm{.}11$ respectively.

Find $S{N}_1,S{N}_2$ and $S{N}_3$ using the nomograph.