
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system

In a square room, each wall has a light bulb that can emit one of the seven colors of the rainbow. No two bulbs in the room emit the same color at the same time. At each turn, a person can change the color of one of the light bulbs to a color that is not currently being used by any other light bulb in the room at that moment, and they must also change the colors to two other remaining unused colors. (After this, there will still be no two bulbs with the same color in the room). What is the minimum number of moves needed so that each bulb has emitted each of the seven colors at least once?

Present the answer in LaTex format: \boxed{Your answer}
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