
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 an opaque bag, there are $10$ balls each of red, white, and yellow colors, all identical except for the color. At least how many balls must be drawn to ensure that two balls of different colors are drawn? At least how many balls must be drawn to ensure that two yellow balls are drawn?

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