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A sphere of radius 32√ is tangent to the edges AB, AD, AA1, and the face diagonal CD1 of the cube ABCDA1B1C1D1.

The volume of the cube can be written as a+bc√, where a, b are integers and c is a square-free positive integer. What is the value of a+b+c?

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    wrong>...........and this is a brilliant problem,try to do it by yourself

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    326 is correct?

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    wrong 326

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    plesse tell me write answer

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