
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 35 red balls, 30 green balls, 25 yellow balls, 15 blue balls, 12 white balls, and 10 black balls. What is the minimum number of balls that must be drawn from the box without replacement to guarantee that at least 20 balls of a single color will be drawn?

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