
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 111 balls: red, blue, green, and white. It is known that if you draw 100 balls without looking into the box, you will definitely get at least four balls of different colors. What is the minimum number of balls that need to be drawn, without looking into the box, to ensure that you get at least three balls of different colors?

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