
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 $30$ red balls, $25$ green balls, $25$ yellow balls, $18$ blue balls, $15$ white balls, and $12$ 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?
A) 100
B) 102
C) 103
D) 105

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