
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 contains 150 purple socks, 120 orange socks, 90 yellow socks, and 70 green socks. A person selects socks one by one from the box in a dimly lit room, unable to discern the color of the socks being selected. What is the minimum number of socks that must be selected to ensure that at least 15 pairs of socks are selected? (A pair consists of two socks of the same color, and a sock can only be counted in one pair.)

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