
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
Jeff went to the store to buy socks, priced at 1 yuan, 3 yuan, and 4 yuan per pair. If Jeff paid a total of 24 yuan for 12 pairs of socks, and he bought at least one pair of socks at each price, find the number of pairs of socks he bought at 1 yuan per pair.

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