
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
Lvdou Supermarket offers discounts to customers under the following conditions:  
(1) If the shopping amount is less than 200 yuan, no discount will be given;  
(2) If the shopping amount is at least 200 yuan but does not exceed 500 yuan, a 10% discount off the marked price will be applied;  
(3) If the shopping amount exceeds 500 yuan, a 10% discount is applied to the first 500 yuan, and a 20% discount is applied to the amount exceeding 500 yuan. Xiaoming went shopping at the supermarket twice, paying 198 yuan and 554 yuan respectively. Now, Xiaoliang decides to buy the same amount of goods in one go that Xiaoming bought in two trips. How much does he need to pay?

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