
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 bag contains 70 balls that differ only in color: 20 red, 20 blue, 20 yellow, and the rest are black and white.

What is the minimum number of balls that must be drawn from the bag, without looking, to ensure that among them there are at least 10 balls of a single color?

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