System's Twilight Hint Guide:

Security Node

Can I have some hints?

• At the start, you can get red balls for free.
• You need a green and red ball to exit.
• You need a red ball before you can get a blue ball.
• You need a blue ball before you can get a green ball.
• For these puzzles, you usually must get the balls in a fixed order.

Tell me what order I should get the balls in.

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