You want to transform the configuration on the left to that on the right.
In each step, you can pick a ball on the top of a tube and place it on the top of another tube.
What is the minimum number of steps required?
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1.Green goes to middle, 2.yellow goes to middle on top of green, 3.purple goes to middle on top of yellow
then 4.red goes to right, 5.followed by purple, 6.then yellow and 7.then green
Therefore, 7 steps are required at minimum