
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
There are 40 red points, 30 blue points, and 20 green points marked on a circle. The circle is divided into 90 arcs. Each arc is labeled with a number based on the colors of its endpoints: an arc with one endpoint red and the other blue is labeled 1, an arc with one endpoint red and the other green is labeled 2, an arc with one endpoint blue and the other green is labeled 3, and an arc with endpoints of the same color is labeled 0. Find both the minimum and maximum possible sums of all these numbers.

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