
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 drawer contains 20 shirts, of which 4 are blue, 7 are gray, and 9 are red. How many shirts should be selected at random to ensure that there are 4 shirts of the same color?
Additionally, how many more shirts need to be selected to ensure that there are 5, 6, 7, 8, or 9 shirts of the same color?

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