Suppose the backing array a of an ArrayList object called arrlist is in the following state:

Answer the following questions:

$[\text{'}\text{'},\text{'}\text{'},\text{'}$A$\text{'},\text{'}$B$\text{'},\text{'}$C$\text{'},\text{'}$D$\text{'},\text{'}$E$\text{'},\text{'}\text{'}]$

$($a$)(2$ pts$)$ Suppose the call arrlist.add$(2,$ b$)$ is made. Identify the following:

$$ The index of b relative to the backing array:

$$ The index of b relative to the user:

$$ The number of elements in the arraylist:

$$ The value of index j:

$$ The diagram of the backing array:

$($b$)(2$ pts$)$ Suppose the following series of method calls are made:

arrlist.add$(2,$ b$)$

arrlist.remove$(3)$

Identify the following:

$$ The index of the element to be removed relative to the backing array:

$$ The element that will be removed and returned by the remove operation:

$$ The number of elements in the arraylist after the series of calls is completed:

$$ The value of index j:

$$ The diagram of the backing array:

$($c$)(2$ pts$)$ Suppose the following series of method calls are made:

arrlist.add$(2,$ b$)$

arrlist.remove$(3)$

arrlist.add$(1,$ d$)$

Identify the following:

$$ The index of d relative to the backing array:

$$ The index of d relative to the user:

$$ The number of elements in the arraylist after the series of calls is completed:

$$ The value of index j:

$$ The diagram of the backing array:

$($d$)(2$ pts$)$ Suppose the following series of method calls are made:

arrlist.add$(2,$ b$)$

arrlist.remove$(3)$

arrlist.add$(1,$ d$)$

arrlist.add$(0,$ z$)$

Identify the following:

$$ The index of z relative to the backing array:

$$ All the elements in the first$-$half of the list:

$$ The number of elements in the arraylist after the series of calls is completed:

$$ The value of index j:

$$ The diagram of the backing array:

$($e$)(2$ pts$)$ Suppose the following series of method calls are made:

arrlist.add$(2,$ b$)$

arrlist.remove$(3)$

arrlist.add$(1,$ d$)$

arrlist.add$(0,$ z$)$

arrlist.add$(7,$ e$)$

arrlist.add$(5,$ f$)$

Identify the following:

$$ All the elements in the first$-$half of the list:

$$ All the elements in the second$-$half of the list:

$$ The number of elements in the arraylist after the series of calls is completed:

$$ The value of index j:

$$ The diagram of the backing array: