
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, 24 green balls, 22 yellow balls, 15 blue balls, 12 white balls, 10 black balls, and 5 purple balls. What is the minimum number of balls that must be drawn from the box without replacement to guarantee that at least 16 balls of a single color will be drawn?

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