
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 dark closet contains 120 red socks, 90 green socks, 70 blue socks, 50 black socks, 30 white socks, and 10 yellow socks. A person selects socks in the dark, unable to see their color. What is the smallest number of socks the person must select to guarantee that the selection contains at least 15 pairs of socks?

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