During a $10$ hour rainfall, precipitations in Table are observed.

$\backslash$table$[[$Hour $0-2,2-4,4-6,6-8,8-10$

Total percipitation $($mm$),32+$x$,20+$x$,6+$x$,18+$x$,6+$x$]]$

$x$ :$7$

a$)$ Considering that initial infiltration capscity is $30m\frac{m}{h}$our, limit value of infiltration capacity is $5$mm$/$hour$.$ Horton parameter $--$k$--$ is $0\mathrm{.}3,$ calculate total infiltration and direct runoff.

b$)$ Assuming that depression and interception losses are ignorable, calculate $$ and w indices.