
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
A box contains 100 white, 100 red, 100 blue, and 100 black balls. What is the minimum number of balls that must be drawn, without looking in the box, to ensure that there are at least 3 balls of the same color?

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