Trace the following algorithms and write down the outputs.

BEGIN

Set the value of $x$ to $12,y$ to $2$

WHILE $(x>0)$

IF $(x<mn\; id="EditorElement\_5487930">9</mn><mi\; id="EditorElement\_5487932">)</mi>$ THEN

set the value of $y$ to $y**2$

ELSE IF $(x<mn\; id="EditorElement\_5487839">1</mn><mn\; id="EditorElement\_5487840">2</mn><mi\; id="EditorElement\_5487842">)</mi>$ THEN

set the value of $y$ to $y-2$

ELSE

set the value of $y$ to $y+2$

set the value of $x$ to $x-2$

END OF WHILE

Print the values of $x$ and $y$

END

a$.x=0,y=12$

b$.x=0,y=32$

c$.x=12y=0$

d$.x=12y=4$