
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 diagonals of parallelogram \(ABCD\) intersect at point \(O\). The perimeter of the parallelogram is 12, and the difference in the perimeters of triangles \(BOC\) and \(COD\) is 2. Find the sides of the parallelogram.

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