
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
On the eve of the Dragon Boat Festival, a certain food processing factory is preparing to pack the produced zongzi into two types of food boxes, A and B. Each box of type A can hold 8 zongzi, and each box of type B can hold 10 zongzi. If 200 zongzi are to be packed into boxes of types A and B (both types of boxes must be used and filled), determine the number of different ways to pack them.

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