Divide 64 into two parts such that the sum of the cubes of two parts is minimum.

Explanation

To solve the problem of dividing 64 into two parts such that the sum of the cubes of the two parts is minimized, we can follow these steps:

### Step 1: Define the Variables
Let \( x \) be one part and \( y \) be the other part. According to the problem, we have:
\[ x + y = 64 \]

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