
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 is a box containing 100 balls: white, blue, and red. It is known that if you draw 26 balls from the box without looking, at least 10 of them will be of the same color. What is the minimum number of balls you need to draw without looking to ensure that at least 30 balls of the same color are among them?

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