A max$-$heap with capacity $12$ and size $10$ is stored in an array with the following content: A$(1)=10,$ A$(2)=8,$ A$(3)=9,$ A$(4)=7,$ A$(5)=7,$ A$(6)=6,$ A$(7)=6,$ A$(8)=4,$ A$(9)=4,$ A$(10)=5.$ Note that I have used parentheses rather than square brackets to denote the element of the array due to the syntax of Canvas. The following questions are all about applying a specific operation to the max$-$heap described in the above $($not the resulting max$-$heap$).($a$1)$ After ExtractMax$($A$),$ what is the value of A$(1)?$

$($a$2)$ After ExtractMax$($A$),$ what is the value of A$(10)?($a$3)$ After ExtractMax$($A$),$ what is the value of A$(6)?($a$4)$ After ExtractMax$($A$),$ what is the value of A$(3)?($a$5)$ After ExtractMax$($A$),$ what is the value of A$(2)?($b$1)$ After Increasekey$($A$,9,9),$ what is the value of A$(1)?($b$2)$ After Increasekey$($A$,9,9),$ what is the value of A$(2)?($b$3)$ After Increasekey$($A$,9,9),$ what is the value of A$(3)?($b$4)$ After Increasekey$($A$,9,9),$ what is the value of A$(4)?($b$5)$ After Increasekey$($A$,9,9),$ what is the value of A$(9)?($c$1)$ After Insert$($A$,11),$ what is the value of A$(1)?($c$2)$ After Insert$($A$,11),$ what is the value of A$(2)?($c$3)$ After Insert$($A$,11),$ what is the value of A$(3)?($c$4)$ After Insert$($A$,11),$ what is the value of A$(5)?($c$5)$ After Insert$($A$,11),$ what is the value of A$(11)?$