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

Table: Precipitations $(mm)$

$x$ : The sum of last two digits of your student number $x=9$

a$)$ Considering that initial infiltration capacity is $30m\frac{m}{?}$ hour, limit value of

infiltration capacity is $5m\frac{m}{?}$ 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.