Write the ladder logic program needed to implement each of the following (assume inputs A, B, and C are all normally open toggle switches):

When input A is closed, turn ON and hold ON outputs X and Y until A opens

When input A is closed and either input B or C is open, turn ON output Y ; otherwise, it should be OFF. When input A is closed or open, turn ON output Y. When input A is closed, turn ON output X and turn OFF output Y