Another, longer sample from random.org to highlight the way of playing:
3 1 1 <1 hit on right
1 1 1
1 3 1
3 1 3
3 3 2 <1 hit on left, cancels it out
2 3 3 <1 hit on right
3 2 1
2 2 1 <1 hit on left, cancels it out
2 2 2
2 3 2
2 1 2
2 3...
3 1 1 <1 hit on right
1 1 1
1 3 1
3 1 3
3 3 2 <1 hit on left, cancels it out
2 3 3 <1 hit on right
3 2 1
2 2 1 <1 hit on left, cancels it out
2 2 2
2 3 2
2 1 2
2 3...