
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 cook is baking flatbreads on a round skillet with a diameter of 26 units. She places three round pieces of dough of different sizes such that their centers lie on a straight line and together they cover the entire diameter of the skillet, but only half of its area. Find the diameters of the three flatbreads, if it is known that they are expressed in whole numbers.

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