
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
In an isosceles trapezoid, there are two touching circles of radii $R$, each of which touches both bases and one of the lateral sides, and the centers of the circles lie on the diagonals. Find the sides of the trapezoid.

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