
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 sides \(AB\) and \(CD\) of a parallelogram \(ABCD\) with an area of 1 are divided into \(n\) equal parts, and \(AD\) and \(BC\) are divided into \(m\) equal parts. The division points are connected as shown in the diagram. What are the areas of the resulting small parallelograms?

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