1. [20 = 3 +5+ 12 points] Let DO be the nondeterministic loop do x 0x :=x-1; y := y+1 O x 70 x := x-1; y :=y+2 od a. Let's wee what a typical iteration of this loop does over an arbitrary state o = {x = a, y = B). [2/18] Assume a 2 2 and calculate the two states we can be in after a single iteration of the loop. I.e., what are o' and o" such that if E' = {0', 0"}, then