System's Twilight Hint Guide:

Trust No One, part 2

Tell me what order I should get the balls in.

You should get the balls in this order:

1. orange
2. black
3. purple
4. green
5. red
6. orange
7. green
8. blue
9. red (from bowl)
10. green
11. yellow

Could you show me a detailed, step-by-step solution?