
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 customer wants to buy 42 items of a product that originally cost 48 yuan each. Given a 60% discount and an additional 100 yuan discount for orders over 300 yuan, calculate the fewest number of orders the customer needs to place to minimize the total amount of money spent.

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