
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
Mrs. Crackham announced at breakfast that a friend had given her three delightful tablecloths, all square with sides of 144 cm. She asked those present to name the maximum dimensions of a square table that could be covered by all three tablecloths at the same time. The tablecloths can be placed on the table in any manner, as long as the entire surface is covered. Provide the answer with an accuracy of one centimeter.

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