
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
There are three types of items, priced at 2 yuan, 4 yuan, and 6 yuan respectively. Now, with 60 yuan, you buy a total of 16 items of these three types, and the money is exactly used up. The maximum number of items that can be bought for 6 yuan is     .

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