
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
In a bag, there are 70 balls differing only by color: 20 red, 20 blue, 20 yellow, and the rest are black and white.

What is the minimum number of balls that must be taken out of the bag, without looking at them, to ensure that there are at least 10 balls of one color?

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