
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 contains 2019 distinct pairs of socks. What is the minimum number of socks that must be taken out to ensure that at least one pair of identical socks has been taken out? It is noted that the drawer is so messy that it is not possible to search inside.

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