
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 box contains two white socks, three blue socks, and four grey socks. Three of the socks have holes in them, but Rachel does not know what colour these socks are. She takes one sock at a time from the box without looking. How many socks must she take to be certain she has a pair of socks of the same colour without holes?

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