
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
In the book "Nine Chapters on the Mathematical Art," it is recorded: "There is a good field of one acre, worth 300 coins; and a bad field of seven acres, worth 500 coins. Now, if a total of one hectare (1 hectare = 100 acres) is bought for 10,000 coins, how many acres of good and bad fields were bought?"

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