
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 closet contains 120 red ties, 90 blue ties, 70 green ties, and 50 yellow ties. A person picks ties one by one in a dimly lit room, unable to discern the color of the ties. What is the minimum number of ties that must be selected to ensure that at least 12 pairs are picked? (Each pair consists of two ties of the same color. No tie may be counted in more than one pair.)

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