
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 in a darkened room contains $120$ red socks, $90$ green socks, $70$ blue socks, $50$ black socks, and $30$ yellow socks. A youngster selects socks one at a time from the drawer but is unable to see the color of the socks being drawn. What is the smallest number of socks that must be selected to guarantee that the selection contains at least $12$ pairs? (A pair of socks is two socks of the same color. No sock may be counted in more than one pair.)

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