A max$-$heap with capacity $20$ and size $10$ is stored in array A with the

following content.

$A[1]=90$

$A[2]=80$

$A[3]=80$

$A[4]=60$

$A[5]=60$

$A[6]=70$

$A[7]=70$

$A[8]=40$

$A[9]=40$

$A[10]=50$

After IncreaseKey$($A$,9,81),$ what is the value of A$[1]?$ Seems to be $90?$

After IncreaseKey$($A$,9,81),$ what is the value of $A[2]?$

After IncreaseKey$($A$,9,81),$ what is the value of A$[3]?$

After IncreaseKey$($A$,9,81),$ what is the value of A$[4]?$

After IncreaseKey$($A$,9,81),$ what is the value of A$[9]?$