
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
Mia went to the store and bought 16 pairs of socks for a total of $36. Some of the socks she bought cost $1 a pair, some cost $2 a pair, some cost $3 a pair, and some cost $4 a pair. If she bought at least one pair of each type, find the number of pairs of $1 socks Mia bought.

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