
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
In a wardrobe drawer, there are 10 red socks and 10 blue socks mixed together haphazardly. These 20 socks are identical except for their color. Calculate the minimum number of socks that must be taken out of the drawer to ensure that there are two socks of the same color.

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