During a $10$ hour rainfall, precipitations in Table $3$ are observed.

Note : X is the sum of the last three digits of your student number

Table$3$: Precipitations $($mm$)$

a$)$ considering that initial infiltration capacity is $30$mm$//$hour$,$ limit value of

infiltration capacity is $10$mm$//$hour$,$ Horton parameter $--$k$--$ is $0\mathrm{.}2,$ calculate total

infiltration and direct runoff.

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