$5.$ Counting Sort $(1$ point$)$

Given the array:

$976170100159$

$($a$)$ Indicate the values of the counting array $($C$)$ after the count of each item $(0\mathrm{.}2$ points$).$

$($b$)$ Indicate the values of the counting array $($C$)$ after determining the indexes $(0\mathrm{.}3$ points$).$

$($c$)$ Indicate the status of the counting array $($C$)$ after uncounted its values $(0\mathrm{.}3$ points$).$

$($d$)$ Indicate the values of the sorted array $(0\mathrm{.}2$ points$).$