
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
From a parallelogram, a rhombus was cut off using a straight line intersecting two of its opposite sides. From the remaining parallelogram, another rhombus was cut off in the same manner, and from the parallelogram that remained again, another rhombus was cut off. As a result, the remaining parallelogram has sides of lengths 1 and 2. Find the sides of the original parallelogram.

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