Both solutions correct. Here's what I had.
Opponent plays 3 emerald towers and elite cockatrice for 5 damage(95-100)
(95-100) Gains 3
Play 3 QT (9
)
Play Pulverizer for 5 damage (5
left)
Play Quicksand on opponent (3
left)
(95-95) Gains 9
(12
total)
Opponent plays giant frog and leaf dragon for 6 damage (95-84)
(no quanta left)
Play Granite Skin twice for +21 health (10
left)
Play Shrieker for 10 damage (2
left)
Play Quicksand on yourself *no quanta left)
(105-80)