
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
The Li family contracted 100 mu of land to plant corn, with a yield of 600 jin per mu. The Liu family contracted 20 mu less than the Li family did, and as a result, the total production of both families is the same.
(1) The total production of the Liu family's corn is $\qquad$ jin.
(2) The per mu yield of corn for the Li family is $\qquad$ jin less than that of the Liu family.

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