
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
Using 20 white cardboard sheets to make packaging boxes, it is known that each white cardboard sheet can make 2 box bodies or 3 box lids. One box body and 2 box lids can make one packaging box. Divide the white cardboard sheets into two batches, one batch for making box bodies and the other for making box lids. Please design a method to make the maximum number of packaging boxes and calculate how many packaging boxes can be made.

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