Consider the following program and its associated memory block. Find the values $($Hex$)$ of the registers BL and BH after execution.

$1000$:$0100151912000000,0000-00,00,00,00,00,0000,00$

MOV $AX,1000H$

MOV $DS,AXDS=1000$

MOV $SI,0101H$

MOV $Ax,[SI],Ax=12,19$

ADD $AL,02$

PUSH $AX$

POP $BX$

INC $BH$

MOV $AH,4CH$

INT $21H$

$AHAL$

$AL=1B$

$Bx=121B$

$BH=13$

$BL=1B$

$BL$:$7B,BH$:$13$