
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 storage box in a dimly lit basement contains 150 white socks, 120 red socks, 90 blue socks, 60 green socks, and 30 yellow socks. A person picks socks one by one from the box without being able to see their colors. What is the smallest number of socks that must be selected to guarantee that the selection contains at least 15 pairs?

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