
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 several (more than three) balls in a box. Each is painted in some color. If you take any three balls out of the box, among them there will definitely be at least one red ball and at least one blue ball. How many balls can be in the box?

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