$2.(8$ points$)$ Consider the following B$+$ index $($Use $2-3$ split rule$).$

$21"22"25"27"32"34"$

$153140$

$4043$

$|$

$|60\backslash$deg $63\backslash$deg $|63|$

$6065100120$

$102105109110"122128"200250$

a$)(4$ points$)$ Show the B$+$ tree that would result from inserting a data entry with key $104.$ b$)(4$ points$)$ Given the result of $($b$),$ show the B$+$ tree that would result from deleting a data entry with key $43.$